25442000400 has 120 divisors (see below), whose sum is σ = 81710216640. Its totient is φ = 6766968320.

The previous prime is 25442000399. The next prime is 25442000431. The reversal of 25442000400 is 400024452.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 439549 + ... + 494051.

It is an arithmetic number, because the mean of its divisors is an integer number (680918472).

Almost surely, 2^25442000400 is an apocalyptic number.

25442000400 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 25442000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40855108320).

25442000400 is an abundant number, since it is smaller than the sum of its proper divisors (56268216240).

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

25442000400 is a wasteful number, since it uses less digits than its factorization.

25442000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54913 (or 54902 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 25442000400 its reverse (400024452), we get a palindrome (25842024852).

The spelling of 25442000400 in words is "twenty-five billion, four hundred forty-two million, four hundred", and thus it is an aban number.