425028480000 has 880 divisors, whose sum is σ = 1522480650240. Its totient is φ = 105062400000.

The previous prime is 425028479989. The next prime is 425028480017. The reversal of 425028480000 is 84820524.

It is a happy number.

It is a super-2 number, since 2×425028480000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2225279905 + ... + 2225280095.

It is an arithmetic number, because the mean of its divisors is an integer number (1730091648).

Almost surely, 2^425028480000 is an apocalyptic number.

425028480000 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 425028480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761240325120).

425028480000 is an abundant number, since it is smaller than the sum of its proper divisors (1097452170240).

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

425028480000 is a wasteful number, since it uses less digits than its factorization.

425028480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 425028480000 in words is "four hundred twenty-five billion, twenty-eight million, four hundred eighty thousand".