420095994624 has 360 divisors, whose sum is σ = 1292448941168. Its totient is φ = 135653253120.

The previous prime is 420095994541. The next prime is 420095994679. The reversal of 420095994624 is 426499590024.

420095994624 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 9 + 5 + 9 + 9 + 4 + 624 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84745554 + ... + 84750510.

Almost surely, 2^420095994624 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 420095994624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646224470584).

420095994624 is an abundant number, since it is smaller than the sum of its proper divisors (872352946544).

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

420095994624 is an equidigital number, since it uses as much as digits as its factorization.

420095994624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 420095994624 in words is "four hundred twenty billion, ninety-five million, nine hundred ninety-four thousand, six hundred twenty-four".