10144042400 has 72 divisors (see below), whose sum is σ = 25077769920. Its totient is φ = 4006229760.

The previous prime is 10144042399. The next prime is 10144042421. The reversal of 10144042400 is 424044101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17054 + ... + 143453.

It is an arithmetic number, because the mean of its divisors is an integer number (348302360).

Almost surely, 2^10144042400 is an apocalyptic number.

10144042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144042400 is an abundant number, since it is smaller than the sum of its proper divisors (14933727520).

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

10144042400 is a wasteful number, since it uses less digits than its factorization.

10144042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160606 (or 160593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10144042400 its reverse (424044101), we get a palindrome (10568086501).

The spelling of 10144042400 in words is "ten billion, one hundred forty-four million, forty-two thousand, four hundred".