42415504000 has 64 divisors (see below), whose sum is σ = 105455586600. Its totient is φ = 16966195200.

The previous prime is 42415503971. The next prime is 42415504013. The reversal of 42415504000 is 40551424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24568681536 + 17846822464 = 156744^2 + 133592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309485 + ... + 1341484.

Almost surely, 2^42415504000 is an apocalyptic number.

42415504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42415504000 is an abundant number, since it is smaller than the sum of its proper divisors (63040082600).

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

42415504000 is an equidigital number, since it uses as much as digits as its factorization.

42415504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650998 (or 2650976 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 42415504000 in words is "forty-two billion, four hundred fifteen million, five hundred four thousand".