42004160160 has 48 divisors (see below), whose sum is σ = 132313106016. Its totient is φ = 11201109248.

The previous prime is 42004160147. The next prime is 42004160173. The reversal of 42004160160 is 6106140024.

It is an interprime number because it is at equal distance from previous prime (42004160147) and next prime (42004160173).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42004160160.

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 7 ways as a sum of consecutive naturals, for example, 43753854 + ... + 43754813.

It is an arithmetic number, because the mean of its divisors is an integer number (2756523042).

Almost surely, 2^42004160160 is an apocalyptic number.

42004160160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004160160 is an abundant number, since it is smaller than the sum of its proper divisors (90308945856).

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

42004160160 is a wasteful number, since it uses less digits than its factorization.

42004160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87508685 (or 87508677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 42004160160 in words is "forty-two billion, four million, one hundred sixty thousand, one hundred sixty".