420205004016 has 80 divisors (see below), whose sum is σ = 1241883871488. Its totient is φ = 119934835200.

The previous prime is 420205003991. The next prime is 420205004027. The reversal of 420205004016 is 610400502024.

It is a super-2 number, since 2×420205004016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317725 + ... + 970236.

Almost surely, 2^420205004016 is an apocalyptic number.

It is an amenable number.

420205004016 is an abundant number, since it is smaller than the sum of its proper divisors (821678867472).

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

420205004016 is a wasteful number, since it uses less digits than its factorization.

420205004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288950 (or 1288944 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 420205004016 in words is "four hundred twenty billion, two hundred five million, four thousand, sixteen".