25015040400 has 360 divisors, whose sum is σ = 94872441664. Its totient is φ = 5519001600.

The previous prime is 25015040389. The next prime is 25015040411. The reversal of 25015040400 is 404051052.

It is an interprime number because it is at equal distance from previous prime (25015040389) and next prime (25015040411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7062630 + ... + 7066170.

Almost surely, 2^25015040400 is an apocalyptic number.

25015040400 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 25015040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47436220832).

25015040400 is an abundant number, since it is smaller than the sum of its proper divisors (69857401264).

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

25015040400 is a wasteful number, since it uses less digits than its factorization.

25015040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 25015040400 its reverse (404051052), we get a palindrome (25419091452).

The spelling of 25015040400 in words is "twenty-five billion, fifteen million, forty thousand, four hundred".