425262528000 has 640 divisors, whose sum is σ = 1577393326080. Its totient is φ = 112942080000.

The previous prime is 425262527993. The next prime is 425262528007. The reversal of 425262528000 is 825262524.

425262528000 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 625 + 28 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (425262527993) and next prime (425262528007).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425262528007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744767715 + ... + 744768285.

It is an arithmetic number, because the mean of its divisors is an integer number (2464677072).

Almost surely, 2^425262528000 is an apocalyptic number.

425262528000 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 425262528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788696663040).

425262528000 is an abundant number, since it is smaller than the sum of its proper divisors (1152130798080).

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

425262528000 is an equidigital number, since it uses as much as digits as its factorization.

425262528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 425262528000 in words is "four hundred twenty-five billion, two hundred sixty-two million, five hundred twenty-eight thousand".