25440633604452 has 96 divisors (see below), whose sum is σ = 66277169570304. Its totient is φ = 7528497984000.

The previous prime is 25440633604439. The next prime is 25440633604553.

25440633604452 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28225788 + ... + 29113164.

It is an arithmetic number, because the mean of its divisors is an integer number (690387183024).

Almost surely, 2^{25440633604452} is an apocalyptic number.

25440633604452 is a gapful number since it is divisible by the number (22) 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 25440633604452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33138584785152).

25440633604452 is an abundant number, since it is smaller than the sum of its proper divisors (40836535965852).

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

25440633604452 is a wasteful number, since it uses less digits than its factorization.

25440633604452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892489 (or 892487 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 25440633604452 in words is "twenty-five trillion, four hundred forty billion, six hundred thirty-three million, six hundred four thousand, four hundred fifty-two".