425700838348800 has 1728 divisors, whose sum is σ = 1708707262298400. Its totient is φ = 93135097036800.

The previous prime is 425700838348741. The next prime is 425700838348997. The reversal of 425700838348800 is 8843838007524.

It is a super-2 number, since 2×425700838348800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16354854186 + ... + 16354880214.

Almost surely, 2^{425700838348800} is an apocalyptic number.

425700838348800 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 425700838348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854353631149200).

425700838348800 is an abundant number, since it is smaller than the sum of its proper divisors (1283006423949600).

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

425700838348800 is a wasteful number, since it uses less digits than its factorization.

425700838348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26172 (or 26140 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 425700838348800 in words is "four hundred twenty-five trillion, seven hundred billion, eight hundred thirty-eight million, three hundred forty-eight thousand, eight hundred".