15042590400 has 84 divisors (see below), whose sum is σ = 49352247752. Its totient is φ = 4011356160.

The previous prime is 15042590393. The next prime is 15042590411. The reversal of 15042590400 is 409524051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562137 + ... + 1571736.

Almost surely, 2^15042590400 is an apocalyptic number.

15042590400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15042590400 is an abundant number, since it is smaller than the sum of its proper divisors (34309657352).

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

15042590400 is a wasteful number, since it uses less digits than its factorization.

15042590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133898 (or 3133883 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 15042590400 in words is "fifteen billion, forty-two million, five hundred ninety thousand, four hundred".