420888907967 has 48 divisors (see below), whose sum is σ = 483612731616. Its totient is φ = 365683507200.

The previous prime is 420888907963. The next prime is 420888907981. The reversal of 420888907967 is 769709888024.

It is not a de Polignac number, because 420888907967 - 2² = 420888907963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420888907897 and 420888907906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420888907963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83990492 + ... + 83995502.

It is an arithmetic number, because the mean of its divisors is an integer number (10075265242).

Almost surely, 2^420888907967 is an apocalyptic number.

420888907967 is a deficient number, since it is larger than the sum of its proper divisors (62723823649).

420888907967 is a wasteful number, since it uses less digits than its factorization.

420888907967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 68.

The spelling of 420888907967 in words is "four hundred twenty billion, eight hundred eighty-eight million, nine hundred seven thousand, nine hundred sixty-seven".