10142002400 has 144 divisors (see below), whose sum is σ = 26379561600. Its totient is φ = 3796508160.

The previous prime is 10142002361. The next prime is 10142002411. The reversal of 10142002400 is 420024101.

It is a congruent number.

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, 1257581 + ... + 1265619.

It is an arithmetic number, because the mean of its divisors is an integer number (183191400).

Almost surely, 2^10142002400 is an apocalyptic number.

10142002400 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 10142002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189780800).

10142002400 is an abundant number, since it is smaller than the sum of its proper divisors (16237559200).

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

10142002400 is a wasteful number, since it uses less digits than its factorization.

10142002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10142002400 its reverse (420024101), we get a palindrome (10562026501).

The spelling of 10142002400 in words is "ten billion, one hundred forty-two million, two thousand, four hundred".