420392720160 has 1152 divisors, whose sum is σ = 1768171991040. Its totient is φ = 88833024000.

The previous prime is 420392720131. The next prime is 420392720161. The reversal of 420392720160 is 61027293024.

420392720160 is a `hidden beast` number, since 4 + 2 + 0 + 392 + 7 + 201 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420392720161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1992382455 + ... + 1992382665.

It is an arithmetic number, because the mean of its divisors is an integer number (1534871520).

Almost surely, 2^420392720160 is an apocalyptic number.

420392720160 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 420392720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884085995520).

420392720160 is an abundant number, since it is smaller than the sum of its proper divisors (1347779270880).

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

420392720160 is a wasteful number, since it uses less digits than its factorization.

420392720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 420392720160 in words is "four hundred twenty billion, three hundred ninety-two million, seven hundred twenty thousand, one hundred sixty".