420942641320080 has 320 divisors, whose sum is σ = 1581748661606400. Its totient is φ = 102045101114880.

The previous prime is 420942641320049. The next prime is 420942641320081. The reversal of 420942641320080 is 80023146249024.

420942641320080 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 4 + 26 + 413 + 200 + 8 + 0 = 666.

It is a super-2 number, since 2×420942641320080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (420942641320081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2358304597 + ... + 2358483083.

It is an arithmetic number, because the mean of its divisors is an integer number (4942964567520).

Almost surely, 2^{420942641320080} is an apocalyptic number.

420942641320080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420942641320080 is an abundant number, since it is smaller than the sum of its proper divisors (1160806020286320).

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

420942641320080 is a wasteful number, since it uses less digits than its factorization.

420942641320080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277779 (or 277767 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 420942641320080 in words is "four hundred twenty trillion, nine hundred forty-two billion, six hundred forty-one million, three hundred twenty thousand, eighty".