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40668385784 = 231333077537
BaseRepresentation
bin100101111000000001…
…100101000111111000
310212222020202001102112
4211320001211013320
51131242101321114
630403252351452
72636541401255
oct457001450770
9125866661375
1040668385784
111627a275194
127a6b915588
133ab16a3000
141d7b27642c
1510d051213e
hex9780651f8

40668385784 has 64 divisors (see below), whose sum is σ = 82884832800. Its totient is φ = 18706401792.

The previous prime is 40668385717. The next prime is 40668385787. The reversal of 40668385784 is 48758386604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40668385787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5392064 + ... + 5399600.

Almost surely, 240668385784 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 40668385784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41442416400).

40668385784 is an abundant number, since it is smaller than the sum of its proper divisors (42216447016).

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

40668385784 is a wasteful number, since it uses less digits than its factorization.

40668385784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 40668385784 in words is "forty billion, six hundred sixty-eight million, three hundred eighty-five thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 169 307 338 614 676 1228 1352 2197 2456 3991 4394 7537 7982 8788 15074 15964 17576 30148 31928 51883 60296 97981 103766 195962 207532 391924 415064 674479 783848 1273753 1348958 2313859 2547506 2697916 4627718 5095012 5395832 9255436 10190024 16558789 18510872 30080167 33117578 60160334 66235156 120320668 132470312 240641336 391042171 782084342 1564168684 3128337368 5083548223 10167096446 20334192892 40668385784