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40480725328 = 24236112891399
BaseRepresentation
bin100101101100110101…
…101101100101010000
310212111011121220200021
4211230311231211100
51130401031202303
630332510233224
72632102326241
oct455465554520
9125434556607
1040480725328
11161933500aa
127a18ab5814
133a81849414
141d60386cc8
1510bdce3ebd
hex96cd6d950

40480725328 has 80 divisors (see below), whose sum is σ = 83307168000. Its totient is φ = 19014589440.

The previous prime is 40480725293. The next prime is 40480725347. The reversal of 40480725328 is 82352708404.

40480725328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28934773 + ... + 28936171.

It is an arithmetic number, because the mean of its divisors is an integer number (1041339600).

Almost surely, 240480725328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40480725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41653584000).

40480725328 is an abundant number, since it is smaller than the sum of its proper divisors (42826442672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40480725328 is a wasteful number, since it uses less digits than its factorization.

40480725328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 40480725328 in words is "forty billion, four hundred eighty million, seven hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 488 976 1289 1399 1403 2578 2798 2806 5156 5596 5612 10312 11192 11224 20624 22384 22448 29647 32177 59294 64354 78629 85339 118588 128708 157258 170678 237176 257416 314516 341356 474352 514832 629032 682712 1258064 1365424 1803311 1808467 1962797 3606622 3616934 3925594 7213244 7233868 7851188 14426488 14467736 15702376 28852976 28935472 31404752 41476153 82952306 110001971 165904612 220003942 331809224 440007884 663618448 880015768 1760031536 2530045333 5060090666 10120181332 20240362664 40480725328