420399933057 has 64 divisors (see below), whose sum is σ = 700115189760. Its totient is φ = 247378266432.

The previous prime is 420399933049. The next prime is 420399933071. The reversal of 420399933057 is 750339993024.

It is not a de Polignac number, because 420399933057 - 2³ = 420399933049 is a prime.

It is a super-2 number, since 2×420399933057² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420399932994 and 420399933012.

It is not an unprimeable number, because it can be changed into a prime (420399931057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32019028 + ... + 32032154.

It is an arithmetic number, because the mean of its divisors is an integer number (10939299840).

Almost surely, 2^420399933057 is an apocalyptic number.

It is an amenable number.

420399933057 is a deficient number, since it is larger than the sum of its proper divisors (279715256703).

420399933057 is a wasteful number, since it uses less digits than its factorization.

420399933057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17139 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 420399933057 in words is "four hundred twenty billion, three hundred ninety-nine million, nine hundred thirty-three thousand, fifty-seven".