420445164400 has 60 divisors (see below), whose sum is σ = 1023956832112. Its totient is φ = 165874245120.

The previous prime is 420445164343. The next prime is 420445164413. The reversal of 420445164400 is 4461544024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7170204 + ... + 7228603.

Almost surely, 2^420445164400 is an apocalyptic number.

420445164400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420445164400 is an abundant number, since it is smaller than the sum of its proper divisors (603511667712).

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

420445164400 is a wasteful number, since it uses less digits than its factorization.

420445164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14398898 (or 14398887 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 420445164400 in words is "four hundred twenty billion, four hundred forty-five million, one hundred sixty-four thousand, four hundred".