420262128000 has 1024 divisors, whose sum is σ = 1818856166400. Its totient is φ = 94030848000.

The previous prime is 420262127963. The next prime is 420262128007. The reversal of 420262128000 is 821262024.

It is a happy number.

420262128000 is a `hidden beast` number, since 420 + 26 + 212 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420262128007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61772599 + ... + 61779401.

It is an arithmetic number, because the mean of its divisors is an integer number (1776226725).

Almost surely, 2^420262128000 is an apocalyptic number.

420262128000 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 420262128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909428083200).

420262128000 is an abundant number, since it is smaller than the sum of its proper divisors (1398594038400).

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

420262128000 is a wasteful number, since it uses less digits than its factorization.

420262128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 420262128000 in words is "four hundred twenty billion, two hundred sixty-two million, one hundred twenty-eight thousand".