420011310992 has 60 divisors (see below), whose sum is σ = 1019450555676. Its totient is φ = 166158316800.

The previous prime is 420011310959. The next prime is 420011311033. The reversal of 420011310992 is 299013110024.

It can be written as a sum of positive squares in 2 ways, for example, as 269253058816 + 150758252176 = 518896^2 + 388276^2 .

It is a super-2 number, since 2×420011310992² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20594759 + ... + 20615142.

Almost surely, 2^420011310992 is an apocalyptic number.

It is an amenable number.

420011310992 is an abundant number, since it is smaller than the sum of its proper divisors (599439244684).

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

420011310992 is a wasteful number, since it uses less digits than its factorization.

420011310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41209936 (or 41209923 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 420011310992 in words is "four hundred twenty billion, eleven million, three hundred ten thousand, nine hundred ninety-two".