420711574560 has 96 divisors (see below), whose sum is σ = 1403196867072. Its totient is φ = 105590353920.

The previous prime is 420711574541. The next prime is 420711574567. The reversal of 420711574560 is 65475117024.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (420711574567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25770736 + ... + 25787055.

It is an arithmetic number, because the mean of its divisors is an integer number (14616634032).

Almost surely, 2^420711574560 is an apocalyptic number.

420711574560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420711574560 is an abundant number, since it is smaller than the sum of its proper divisors (982485292512).

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

420711574560 is a wasteful number, since it uses less digits than its factorization.

420711574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51557826 (or 51557818 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 420711574560 in words is "four hundred twenty billion, seven hundred eleven million, five hundred seventy-four thousand, five hundred sixty".