10024007400 has 144 divisors (see below), whose sum is σ = 36724390560. Its totient is φ = 2430057600.

The previous prime is 10024007377. The next prime is 10024007447. The reversal of 10024007400 is 470042001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233332 + ... + 272931.

It is an arithmetic number, because the mean of its divisors is an integer number (255030490).

Almost surely, 2^10024007400 is an apocalyptic number.

10024007400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024007400 is an abundant number, since it is smaller than the sum of its proper divisors (26700383160).

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

10024007400 is a wasteful number, since it uses less digits than its factorization.

10024007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506296 (or 506284 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 10024007400 its reverse (470042001), we get a palindrome (10494049401).

The spelling of 10024007400 in words is "ten billion, twenty-four million, seven thousand, four hundred".