420834553920 has 1176 divisors, whose sum is σ = 1750627697112. Its totient is φ = 95909806080.

The previous prime is 420834553897. The next prime is 420834553991. The reversal of 420834553920 is 29355438024.

420834553920 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 3 + 4 + 553 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157443891264 + 263390662656 = 396792^2 + 513216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 479856522 + ... + 479857398.

Almost surely, 2^420834553920 is an apocalyptic number.

420834553920 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 420834553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875313848556).

420834553920 is an abundant number, since it is smaller than the sum of its proper divisors (1329793143192).

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

420834553920 is a wasteful number, since it uses less digits than its factorization.

420834553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 420834553920 in words is "four hundred twenty billion, eight hundred thirty-four million, five hundred fifty-three thousand, nine hundred twenty".