10024014400 has 63 divisors (see below), whose sum is σ = 24675198681. Its totient is φ = 4008003840.

The previous prime is 10024014373. The next prime is 10024014431. The reversal of 10024014400 is 441042001.

The square root of 10024014400 is 100120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3608645184 + 6415369216 = 60072^2 + 80096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4003549 + ... + 4006051.

Almost surely, 2^10024014400 is an apocalyptic number.

10024014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10024014400 is the 100120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024014400

10024014400 is an abundant number, since it is smaller than the sum of its proper divisors (14651184281).

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

10024014400 is an frugal number, since it uses more digits than its factorization.

10024014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 10024014400 by its sum of digits (16), we get a square (160384230400 = 400480²).

10024014400 divided by its sum of digits (16) gives a square (626500900 = 25030²).

Adding to 10024014400 its reverse (441042001), we get a palindrome (10465056401).

The spelling of 10024014400 in words is "ten billion, twenty-four million, fourteen thousand, four hundred".