420672133662000 has 320 divisors, whose sum is σ = 1519529771155968. Its totient is φ = 99224876160000.

The previous prime is 420672133661951. The next prime is 420672133662047. The reversal of 420672133662000 is 266331276024.

It is a super-3 number, since 3×420672133662000³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83690706 + ... + 88574705.

Almost surely, 2^{420672133662000} is an apocalyptic number.

420672133662000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420672133662000 is an abundant number, since it is smaller than the sum of its proper divisors (1098857637493968).

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

420672133662000 is a wasteful number, since it uses less digits than its factorization.

420672133662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172265485 (or 172265469 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 420672133662000 in words is "four hundred twenty trillion, six hundred seventy-two billion, one hundred thirty-three million, six hundred sixty-two thousand".