15403242400 has 144 divisors (see below), whose sum is σ = 46281037824. Its totient is φ = 4874849280.

The previous prime is 15403242389. The next prime is 15403242401. The reversal of 15403242400 is 424230451.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (15403242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32992 + ... + 178591.

It is an arithmetic number, because the mean of its divisors is an integer number (321396096).

Almost surely, 2^15403242400 is an apocalyptic number.

15403242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15403242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23140518912).

15403242400 is an abundant number, since it is smaller than the sum of its proper divisors (30877795424).

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

15403242400 is a wasteful number, since it uses less digits than its factorization.

15403242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211623 (or 211610 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 15403242400 its reverse (424230451), we get a palindrome (15827472851).

The spelling of 15403242400 in words is "fifteen billion, four hundred three million, two hundred forty-two thousand, four hundred".