420404707800 has 1152 divisors, whose sum is σ = 1834210460160. Its totient is φ = 83756851200.

The previous prime is 420404707771. The next prime is 420404707813. The reversal of 420404707800 is 8707404024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 374358039 + ... + 374359161.

It is an arithmetic number, because the mean of its divisors is an integer number (1592196580).

Almost surely, 2^420404707800 is an apocalyptic number.

420404707800 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 420404707800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917105230080).

420404707800 is an abundant number, since it is smaller than the sum of its proper divisors (1413805752360).

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

420404707800 is a wasteful number, since it uses less digits than its factorization.

420404707800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 420404707800 in words is "four hundred twenty billion, four hundred four million, seven hundred seven thousand, eight hundred".