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40407266432 = 271356942677
BaseRepresentation
bin100101101000011101…
…011111010010000000
310212022001101211000102
4211220131133102000
51130223230011212
630321323541532
72630221045331
oct455035372200
9125261354012
1040407266432
1116155937375
1279b838a8a8
133a6c569410
141d54704288
1510b76335c2
hex96875f480

40407266432 has 64 divisors (see below), whose sum is σ = 86845462200. Its totient is φ = 18616295424.

The previous prime is 40407266423. The next prime is 40407266447. The reversal of 40407266432 is 23466270404.

It can be written as a sum of positive squares in 4 ways, for example, as 22444833856 + 17962432576 = 149816^2 + 134024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925478 + ... + 968154.

Almost surely, 240407266432 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 40407266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43422731100).

40407266432 is an abundant number, since it is smaller than the sum of its proper divisors (46438195768).

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

40407266432 is a wasteful number, since it uses less digits than its factorization.

40407266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43273 (or 43261 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 40407266432 in words is "forty billion, four hundred seven million, two hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 569 832 1138 1664 2276 4552 7397 9104 14794 18208 29588 36416 42677 59176 72832 85354 118352 170708 236704 341416 473408 554801 682832 946816 1109602 1365664 2219204 2731328 4438408 5462656 8876816 17753632 24283213 35507264 48566426 71014528 97132852 194265704 315681769 388531408 631363538 777062816 1262727076 1554125632 2525454152 3108251264 5050908304 10101816608 20203633216 40407266432