420085634000 has 80 divisors (see below), whose sum is σ = 1016107822080. Its totient is φ = 167977884800.

The previous prime is 420085633991. The next prime is 420085634029. The reversal of 420085634000 is 436580024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204329 + ... + 6271671.

It is an arithmetic number, because the mean of its divisors is an integer number (12701347776).

Almost surely, 2^420085634000 is an apocalyptic number.

420085634000 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 420085634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508053911040).

420085634000 is an abundant number, since it is smaller than the sum of its proper divisors (596022188080).

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

420085634000 is a wasteful number, since it uses less digits than its factorization.

420085634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70485 (or 70469 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 420085634000 in words is "four hundred twenty billion, eighty-five million, six hundred thirty-four thousand".