42864156960 has 96 divisors (see below), whose sum is σ = 135078088320. Its totient is φ = 11425701888.

The previous prime is 42864156919. The next prime is 42864156961. The reversal of 42864156960 is 6965146824.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42864156961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1227421 + ... + 1261859.

It is an arithmetic number, because the mean of its divisors is an integer number (1407063420).

Almost surely, 2^42864156960 is an apocalyptic number.

42864156960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42864156960 is an abundant number, since it is smaller than the sum of its proper divisors (92213931360).

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

42864156960 is a wasteful number, since it uses less digits than its factorization.

42864156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37050 (or 37042 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 42864156960 in words is "forty-two billion, eight hundred sixty-four million, one hundred fifty-six thousand, nine hundred sixty".