25104234001440 has 768 divisors, whose sum is σ = 93562337433600. Its totient is φ = 5593116672000.

The previous prime is 25104234001423. The next prime is 25104234001477. The reversal of 25104234001440 is 4410043240152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25104234001398 and 25104234001407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 473182915 + ... + 473235965.

It is an arithmetic number, because the mean of its divisors is an integer number (121825960200).

Almost surely, 2^{25104234001440} is an apocalyptic number.

25104234001440 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 25104234001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781168716800).

25104234001440 is an abundant number, since it is smaller than the sum of its proper divisors (68458103432160).

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

25104234001440 is a wasteful number, since it uses less digits than its factorization.

25104234001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53241 (or 53233 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 25104234001440 its reverse (4410043240152), we get a palindrome (29514277241592).

The spelling of 25104234001440 in words is "twenty-five trillion, one hundred four billion, two hundred thirty-four million, one thousand, four hundred forty".