25541040400000 has 96 divisors (see below), whose sum is σ = 63599107170060. Its totient is φ = 10216416000000.

The previous prime is 25541040399997. The next prime is 25541040400049. The reversal of 25541040400000 is 404014552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2447172150336 + 23093868249664 = 1564344^2 + 4805608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31526301 + ... + 32326300.

Almost surely, 2^{25541040400000} is an apocalyptic number.

25541040400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25541040400000 is an abundant number, since it is smaller than the sum of its proper divisors (38058066770060).

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

25541040400000 is an frugal number, since it uses more digits than its factorization.

25541040400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63852640 (or 63852608 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 25541040400000 its reverse (404014552), we get a palindrome (25541444414552).

The spelling of 25541040400000 in words is "twenty-five trillion, five hundred forty-one billion, forty million, four hundred thousand".