40156354225416 has 384 divisors, whose sum is σ = 129616220528640. Its totient is φ = 10230776524800.

The previous prime is 40156354225373. The next prime is 40156354225441. The reversal of 40156354225416 is 61452245365104.

It is a super-2 number, since 2×40156354225416² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22658701 + ... + 24366563.

It is an arithmetic number, because the mean of its divisors is an integer number (337542240960).

Almost surely, 2^{40156354225416} 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 40156354225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64808110264320).

40156354225416 is an abundant number, since it is smaller than the sum of its proper divisors (89459866303224).

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

40156354225416 is a wasteful number, since it uses less digits than its factorization.

40156354225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707957 (or 1707940 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 40156354225416 in words is "forty trillion, one hundred fifty-six billion, three hundred fifty-four million, two hundred twenty-five thousand, four hundred sixteen".