42840264960 has 180 divisors, whose sum is σ = 153290673228. Its totient is φ = 11424043008.

The previous prime is 42840264949. The next prime is 42840264977. The reversal of 42840264960 is 6946204824.

It can be written as a sum of positive squares in 2 ways, for example, as 24007643136 + 18832621824 = 154944^2 + 137232^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102919 + ... + 310278.

Almost surely, 2^42840264960 is an apocalyptic number.

42840264960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42840264960 is an abundant number, since it is smaller than the sum of its proper divisors (110450408268).

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

42840264960 is an equidigital number, since it uses as much as digits as its factorization.

42840264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413230 (or 413207 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42840264960 in words is "forty-two billion, eight hundred forty million, two hundred sixty-four thousand, nine hundred sixty".