42901413984 has 144 divisors (see below), whose sum is σ = 143329861584. Its totient is φ = 12000384000.

The previous prime is 42901413977. The next prime is 42901414063. The reversal of 42901413984 is 48931410924.

42901413984 is a `hidden beast` number, since 429 + 0 + 14 + 139 + 84 = 666.

42901413984 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479667 + ... + 562034.

It is an arithmetic number, because the mean of its divisors is an integer number (995346261).

Almost surely, 2^42901413984 is an apocalyptic number.

42901413984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42901413984 is an abundant number, since it is smaller than the sum of its proper divisors (100428447600).

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

42901413984 is a wasteful number, since it uses less digits than its factorization.

42901413984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041741 (or 1041730 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42901413984 in words is "forty-two billion, nine hundred one million, four hundred thirteen thousand, nine hundred eighty-four".