425063570400 has 1296 divisors, whose sum is σ = 1859829963264. Its totient is φ = 92748395520.

The previous prime is 425063570383. The next prime is 425063570411. The reversal of 425063570400 is 4075360524.

425063570400 is a `hidden beast` number, since 4 + 25 + 0 + 63 + 570 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 845056549 + ... + 845057051.

It is an arithmetic number, because the mean of its divisors is an integer number (1435053984).

Almost surely, 2^425063570400 is an apocalyptic number.

425063570400 is a gapful number since it is divisible by the number (40) 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 425063570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929914981632).

425063570400 is an abundant number, since it is smaller than the sum of its proper divisors (1434766392864).

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

425063570400 is an equidigital number, since it uses as much as digits as its factorization.

425063570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 425063570400 in words is "four hundred twenty-five billion, sixty-three million, five hundred seventy thousand, four hundred".