420122834280 has 384 divisors, whose sum is σ = 1459447516800. Its totient is φ = 104509440000.

The previous prime is 420122834273. The next prime is 420122834333. The reversal of 420122834280 is 82438221024.

420122834280 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 228 + 3 + 428 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 139992780 + ... + 139995780.

It is an arithmetic number, because the mean of its divisors is an integer number (3800644575).

Almost surely, 2^420122834280 is an apocalyptic number.

420122834280 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 420122834280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729723758400).

420122834280 is an abundant number, since it is smaller than the sum of its proper divisors (1039324682520).

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

420122834280 is a wasteful number, since it uses less digits than its factorization.

420122834280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 420122834280 in words is "four hundred twenty billion, one hundred twenty-two million, eight hundred thirty-four thousand, two hundred eighty".