420456572928 has 1440 divisors, whose sum is σ = 1631090260800. Its totient is φ = 105297739776.

The previous prime is 420456572897. The next prime is 420456572933. The reversal of 420456572928 is 829275654024.

420456572928 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 565 + 72 + 9 + 2 + 8 = 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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7126382563 + ... + 7126382621.

It is an arithmetic number, because the mean of its divisors is an integer number (1132701570).

Almost surely, 2^420456572928 is an apocalyptic number.

420456572928 is a gapful number since it is divisible by the number (48) 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 420456572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815545130400).

420456572928 is an abundant number, since it is smaller than the sum of its proper divisors (1210633687872).

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

420456572928 is a wasteful number, since it uses less digits than its factorization.

420456572928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 420456572928 in words is "four hundred twenty billion, four hundred fifty-six million, five hundred seventy-two thousand, nine hundred twenty-eight".