425958593904144 has 1280 divisors, whose sum is σ = 1542117964800000. Its totient is φ = 112170149167104.

The previous prime is 425958593904143. The next prime is 425958593904157. The reversal of 425958593904144 is 441409395859524.

425958593904144 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 585 + 9 + 39 + 0 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (425958593904143) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 16112200494 + ... + 16112226930.

It is an arithmetic number, because the mean of its divisors is an integer number (1204779660000).

Almost surely, 2^{425958593904144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425958593904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771058982400000).

425958593904144 is an abundant number, since it is smaller than the sum of its proper divisors (1116159370895856).

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

425958593904144 is a wasteful number, since it uses less digits than its factorization.

425958593904144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26650 (or 26624 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 425958593904144 in words is "four hundred twenty-five trillion, nine hundred fifty-eight billion, five hundred ninety-three million, nine hundred four thousand, one hundred forty-four".