420095541328344 has 384 divisors, whose sum is σ = 1359679606488000. Its totient is φ = 119830388041728.

The previous prime is 420095541328249. The next prime is 420095541328367. The reversal of 420095541328344 is 443823145590024.

420095541328344 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 9 + 554 + 1 + 3 + 2 + 83 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47238895962 + ... + 47238904854.

Almost surely, 2^{420095541328344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420095541328344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679839803244000).

420095541328344 is an abundant number, since it is smaller than the sum of its proper divisors (939584065159656).

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

420095541328344 is a wasteful number, since it uses less digits than its factorization.

420095541328344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744 (or 15727 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 420095541328344 in words is "four hundred twenty trillion, ninety-five billion, five hundred forty-one million, three hundred twenty-eight thousand, three hundred forty-four".