425190672000 has 768 divisors, whose sum is σ = 1625081421600. Its totient is φ = 106536960000.

The previous prime is 425190671947. The next prime is 425190672073. The reversal of 425190672000 is 276091524.

425190672000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 263997504 + 424926674496 = 16248^2 + 651864^2 .

It is a super-3 number, since 3×425190672000³ (a number of 36 digits) contains 333 as substring.

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, 707471700 + ... + 707472300.

Almost surely, 2^425190672000 is an apocalyptic number.

425190672000 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 425190672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812540710800).

425190672000 is an abundant number, since it is smaller than the sum of its proper divisors (1199890749600).

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

425190672000 is an equidigital number, since it uses as much as digits as its factorization.

425190672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 425190672000 in words is "four hundred twenty-five billion, one hundred ninety million, six hundred seventy-two thousand".