425125126800 has 1080 divisors, whose sum is σ = 1729405790112. Its totient is φ = 96682291200.

The previous prime is 425125126793. The next prime is 425125126807. The reversal of 425125126800 is 8621521524.

425125126800 is a `hidden beast` number, since 42 + 512 + 5 + 1 + 26 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425125126793) and next prime (425125126807).

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

It is not an unprimeable number, because it can be changed into a prime (425125126807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1384772247 + ... + 1384772553.

Almost surely, 2^425125126800 is an apocalyptic number.

425125126800 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 425125126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864702895056).

425125126800 is an abundant number, since it is smaller than the sum of its proper divisors (1304280663312).

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

425125126800 is a wasteful number, since it uses less digits than its factorization.

425125126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 425125126800 in words is "four hundred twenty-five billion, one hundred twenty-five million, one hundred twenty-six thousand, eight hundred".