10125424400 has 240 divisors, whose sum is σ = 31703220864. Its totient is φ = 3015843840.

The previous prime is 10125424319. The next prime is 10125424409. The reversal of 10125424400 is 442452101.

It is not an unprimeable number, because it can be changed into a prime (10125424409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610619 + ... + 626981.

Almost surely, 2^10125424400 is an apocalyptic number.

10125424400 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 10125424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851610432).

10125424400 is an abundant number, since it is smaller than the sum of its proper divisors (21577796464).

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

10125424400 is a wasteful number, since it uses less digits than its factorization.

10125424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16418 (or 16407 counting only the distinct ones).

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

Adding to 10125424400 its reverse (442452101), we get a palindrome (10567876501).

The spelling of 10125424400 in words is "ten billion, one hundred twenty-five million, four hundred twenty-four thousand, four hundred".