10254142400 has 42 divisors (see below), whose sum is σ = 25231603080. Its totient is φ = 4101656320.

The previous prime is 10254142351. The next prime is 10254142427. The reversal of 10254142400 is 424145201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3202820 + ... + 3206019.

Almost surely, 2^10254142400 is an apocalyptic number.

10254142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10254142400 is an abundant number, since it is smaller than the sum of its proper divisors (14977460680).

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

10254142400 is an equidigital number, since it uses as much as digits as its factorization.

10254142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408861 (or 6408846 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10254142400 its reverse (424145201), we get a palindrome (10678287601).

The spelling of 10254142400 in words is "ten billion, two hundred fifty-four million, one hundred forty-two thousand, four hundred".