40513563287568 has 240 divisors, whose sum is σ = 135281767662720. Its totient is φ = 11574714412800.

The previous prime is 40513563287563. The next prime is 40513563287629. The reversal of 40513563287568 is 86578236531504.

40513563287568 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 3 + 5 + 63 + 2 + 8 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40513563287563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577237438 + ... + 577307618.

It is an arithmetic number, because the mean of its divisors is an integer number (563674031928).

Almost surely, 2^{40513563287568} is an apocalyptic number.

40513563287568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40513563287568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67640883831360).

40513563287568 is an abundant number, since it is smaller than the sum of its proper divisors (94768204375152).

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

40513563287568 is a wasteful number, since it uses less digits than its factorization.

40513563287568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97483 (or 97464 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 40513563287568 in words is "forty trillion, five hundred thirteen billion, five hundred sixty-three million, two hundred eighty-seven thousand, five hundred sixty-eight".