25030410400 has 144 divisors (see below), whose sum is σ = 63609991200. Its totient is φ = 9606159360.

The previous prime is 25030410389. The next prime is 25030410407. The reversal of 25030410400 is 401403052.

It is not an unprimeable number, because it can be changed into a prime (25030410407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3778291 + ... + 3784909.

It is an arithmetic number, because the mean of its divisors is an integer number (441736050).

Almost surely, 2^25030410400 is an apocalyptic number.

25030410400 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 25030410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31804995600).

25030410400 is an abundant number, since it is smaller than the sum of its proper divisors (38579580800).

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

25030410400 is a wasteful number, since it uses less digits than its factorization.

25030410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 25030410400 its reverse (401403052), we get a palindrome (25431813452).

The spelling of 25030410400 in words is "twenty-five billion, thirty million, four hundred ten thousand, four hundred".