40339861517538 has 192 divisors, whose sum is σ = 100467704623104. Its totient is φ = 12028721616000.

The previous prime is 40339861517509. The next prime is 40339861517561. The reversal of 40339861517538 is 83571516893304.

40339861517538 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 9 + 8 + 61 + 517 + 53 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168081283 + ... + 168321113.

It is an arithmetic number, because the mean of its divisors is an integer number (523269294912).

Almost surely, 2^{40339861517538} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40339861517538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50233852311552).

40339861517538 is an abundant number, since it is smaller than the sum of its proper divisors (60127843105566).

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

40339861517538 is a wasteful number, since it uses less digits than its factorization.

40339861517538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240363 (or 240351 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 40339861517538 in words is "forty trillion, three hundred thirty-nine billion, eight hundred sixty-one million, five hundred seventeen thousand, five hundred thirty-eight".