25243420400 has 120 divisors (see below), whose sum is σ = 66221725824. Its totient is φ = 9170963200.

The previous prime is 25243420331. The next prime is 25243420409. The reversal of 25243420400 is 402434252.

It is a happy number.

It is a super-2 number, since 2×25243420400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25243420400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25243420409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6699317 + ... + 6703083.

Almost surely, 2^25243420400 is an apocalyptic number.

25243420400 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 25243420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33110862912).

25243420400 is an abundant number, since it is smaller than the sum of its proper divisors (40978305424).

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

25243420400 is a wasteful number, since it uses less digits than its factorization.

25243420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 25243420400 its reverse (402434252), we get a palindrome (25645854652).

The spelling of 25243420400 in words is "twenty-five billion, two hundred forty-three million, four hundred twenty thousand, four hundred".