40712103484416 has 1584 divisors, whose sum is σ = 154140736355424. Its totient is φ = 10637556056064.

The previous prime is 40712103484309. The next prime is 40712103484477. The reversal of 40712103484416 is 61448430121704.

40712103484416 is a `hidden beast` number, since 4 + 0 + 7 + 121 + 0 + 3 + 484 + 41 + 6 = 666.

It is a super-2 number, since 2×40712103484416² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 17911175056 + ... + 17911177328.

Almost surely, 2^{40712103484416} 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 40712103484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77070368177712).

40712103484416 is an abundant number, since it is smaller than the sum of its proper divisors (113428632871008).

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

40712103484416 is a wasteful number, since it uses less digits than its factorization.

40712103484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40712103484416 in words is "forty trillion, seven hundred twelve billion, one hundred three million, four hundred eighty-four thousand, four hundred sixteen".