10254414400 has 42 divisors (see below), whose sum is σ = 25232272370. Its totient is φ = 4101765120.

The previous prime is 10254414367. The next prime is 10254414403. The reversal of 10254414400 is 441445201.

It can be written as a sum of positive squares in 3 ways, for example, as 3175547904 + 7078866496 = 56352^2 + 84136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10254414403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3202905 + ... + 3206104.

Almost surely, 2^10254414400 is an apocalyptic number.

10254414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10254414400 is an abundant number, since it is smaller than the sum of its proper divisors (14977857970).

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

10254414400 is an equidigital number, since it uses as much as digits as its factorization.

10254414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409031 (or 6409016 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10254414400 its reverse (441445201), we get a palindrome (10695859601).

The spelling of 10254414400 in words is "ten billion, two hundred fifty-four million, four hundred fourteen thousand, four hundred".