15242005142400 has 96 divisors (see below), whose sum is σ = 50203354469400. Its totient is φ = 4064534702080.

The previous prime is 15242005142327. The next prime is 15242005142407. The reversal of 15242005142400 is 424150024251.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15242005142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793844835 + ... + 793864034.

Almost surely, 2^{15242005142400} is an apocalyptic number.

15242005142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15242005142400 is an abundant number, since it is smaller than the sum of its proper divisors (34961349327000).

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

15242005142400 is a wasteful number, since it uses less digits than its factorization.

15242005142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587708896 (or 1587708879 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 15242005142400 its reverse (424150024251), we get a palindrome (15666155166651).

The spelling of 15242005142400 in words is "fifteen trillion, two hundred forty-two billion, five million, one hundred forty-two thousand, four hundred".