25413134400 has 504 divisors, whose sum is σ = 94479307104. Its totient is φ = 6718464000.

The previous prime is 25413134381. The next prime is 25413134413. The reversal of 25413134400 is 443131452.

It is a happy number.

25413134400 is a `hidden beast` number, since 254 + 1 + 3 + 1 + 3 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63374200 + ... + 63374600.

Almost surely, 2^25413134400 is an apocalyptic number.

25413134400 is a gapful number since it is divisible by the number (20) 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 25413134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47239653552).

25413134400 is an abundant number, since it is smaller than the sum of its proper divisors (69066172704).

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

25413134400 is a wasteful number, since it uses less digits than its factorization.

25413134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 25413134400 its reverse (443131452), we get a palindrome (25856265852).

The spelling of 25413134400 in words is "twenty-five billion, four hundred thirteen million, one hundred thirty-four thousand, four hundred".