425728224000 has 864 divisors, whose sum is σ = 1620172217664. Its totient is φ = 111277670400.

The previous prime is 425728223981. The next prime is 425728224017. The reversal of 425728224000 is 422827524.

425728224000 is a `hidden beast` number, since 4 + 2 + 572 + 82 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412127484 + ... + 412128516.

It is an arithmetic number, because the mean of its divisors is an integer number (1875199326).

Almost surely, 2^425728224000 is an apocalyptic number.

425728224000 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 425728224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810086108832).

425728224000 is an abundant number, since it is smaller than the sum of its proper divisors (1194443993664).

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

425728224000 is an equidigital number, since it uses as much as digits as its factorization.

425728224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 425728224000 in words is "four hundred twenty-five billion, seven hundred twenty-eight million, two hundred twenty-four thousand".