15042213242400 has 72 divisors (see below), whose sum is σ = 48962404111824. Its totient is φ = 4011256864000.

The previous prime is 15042213242387. The next prime is 15042213242417. The reversal of 15042213242400 is 424231224051.

It is a happy number.

It is a super-3 number, since 3×15042213242400³ (a number of 41 digits) contains 333 as substring.

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, 3133792026 + ... + 3133796825.

It is an arithmetic number, because the mean of its divisors is an integer number (680033390442).

Almost surely, 2^{15042213242400} is an apocalyptic number.

15042213242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15042213242400 is an abundant number, since it is smaller than the sum of its proper divisors (33920190869424).

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

15042213242400 is a wasteful number, since it uses less digits than its factorization.

15042213242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267588874 (or 6267588861 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 15042213242400 its reverse (424231224051), we get a palindrome (15466444466451).

The spelling of 15042213242400 in words is "fifteen trillion, forty-two billion, two hundred thirteen million, two hundred forty-two thousand, four hundred".