420295792010094 has 384 divisors, whose sum is σ = 1304660804428800. Its totient is φ = 94158757877760.

The previous prime is 420295792010093. The next prime is 420295792010173. The reversal of 420295792010094 is 490010297592024.

It is a happy number.

420295792010094 is a `hidden beast` number, since 4 + 20 + 29 + 579 + 20 + 1 + 0 + 0 + 9 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420295792010094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420295792010093) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16582012 + ... + 33399920.

It is an arithmetic number, because the mean of its divisors is an integer number (3397554178200).

Almost surely, 2^{420295792010094} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420295792010094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652330402214400).

420295792010094 is an abundant number, since it is smaller than the sum of its proper divisors (884365012418706).

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

420295792010094 is a wasteful number, since it uses less digits than its factorization.

420295792010094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16818040 (or 16818037 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 420295792010094 in words is "four hundred twenty trillion, two hundred ninety-five billion, seven hundred ninety-two million, ten thousand, ninety-four".