10140424800 has 144 divisors (see below), whose sum is σ = 36007820352. Its totient is φ = 2458278400.

The previous prime is 10140424769. The next prime is 10140424823. The reversal of 10140424800 is 842404101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 165654 + ... + 218453.

It is an arithmetic number, because the mean of its divisors is an integer number (250054308).

Almost surely, 2^10140424800 is an apocalyptic number.

10140424800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140424800 is an abundant number, since it is smaller than the sum of its proper divisors (25867395552).

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

10140424800 is a wasteful number, since it uses less digits than its factorization.

10140424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384141 (or 384128 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10140424800 its reverse (842404101), we get a palindrome (10982828901).

The spelling of 10140424800 in words is "ten billion, one hundred forty million, four hundred twenty-four thousand, eight hundred".