10001142400 has 192 divisors, whose sum is σ = 25449989400. Its totient is φ = 3881779200.

The previous prime is 10001142397. The next prime is 10001142413. The reversal of 10001142400 is 424110001.

It can be written as a sum of positive squares in 12 ways, for example, as 1623767616 + 8377374784 = 40296^2 + 91528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18486130 + ... + 18486670.

Almost surely, 2^10001142400 is an apocalyptic number.

10001142400 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 10001142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724994700).

10001142400 is an abundant number, since it is smaller than the sum of its proper divisors (15448847000).

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

10001142400 is a wasteful number, since it uses less digits than its factorization.

10001142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10001142400 its reverse (424110001), we get a palindrome (10425252401).

The spelling of 10001142400 in words is "ten billion, one million, one hundred forty-two thousand, four hundred".