40539168354816 has 1440 divisors, whose sum is σ = 133785222322752. Its totient is φ = 12244180008960.

The previous prime is 40539168354793. The next prime is 40539168354847. The reversal of 40539168354816 is 61845386193504.

It is a happy number.

40539168354816 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 9 + 1 + 6 + 83 + 548 + 1 + 6 = 666.

It is a super-2 number, since 2×40539168354816² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157739954560 + ... + 157739954816.

Almost surely, 2^{40539168354816} 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 40539168354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66892611161376).

40539168354816 is an abundant number, since it is smaller than the sum of its proper divisors (93246053967936).

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

40539168354816 is a wasteful number, since it uses less digits than its factorization.

40539168354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 40539168354816 in words is "forty trillion, five hundred thirty-nine billion, one hundred sixty-eight million, three hundred fifty-four thousand, eight hundred sixteen".