40042870012896 has 48 divisors (see below), whose sum is σ = 105120592290000. Its totient is φ = 13346600035328.

The previous prime is 40042870012877. The next prime is 40042870012913. The reversal of 40042870012896 is 69821007824004.

40042870012896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14729871 + ... + 17235278.

It is an arithmetic number, because the mean of its divisors is an integer number (2190012339375).

Almost surely, 2^{40042870012896} is an apocalyptic number.

It is an amenable number.

40042870012896 is an abundant number, since it is smaller than the sum of its proper divisors (65077722277104).

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

40042870012896 is a wasteful number, since it uses less digits than its factorization.

40042870012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31978211 (or 31978203 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 40042870012896 in words is "forty trillion, forty-two billion, eight hundred seventy million, twelve thousand, eight hundred ninety-six".