425433167520 has 384 divisors, whose sum is σ = 1437253009920. Its totient is φ = 105517547520.

The previous prime is 425433167507. The next prime is 425433167557. The reversal of 425433167520 is 25761334524.

It is a super-2 number, since 2×425433167520² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 152538286 + ... + 152541074.

It is an arithmetic number, because the mean of its divisors is an integer number (3742846380).

Almost surely, 2^425433167520 is an apocalyptic number.

425433167520 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 425433167520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718626504960).

425433167520 is an abundant number, since it is smaller than the sum of its proper divisors (1011819842400).

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

425433167520 is a wasteful number, since it uses less digits than its factorization.

425433167520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 425433167520 in words is "four hundred twenty-five billion, four hundred thirty-three million, one hundred sixty-seven thousand, five hundred twenty".