408667237968 has 80 divisors (see below), whose sum is σ = 1188850194432. Its totient is φ = 119843760000.

The previous prime is 408667237933. The next prime is 408667238003. The reversal of 408667237968 is 869732766804.

It is an interprime number because it is at equal distance from previous prime (408667237933) and next prime (408667238003).

It is a super-2 number, since 2×408667237968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 408667237899 and 408667237908.

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, 12467358 + ... + 12500093.

Almost surely, 2^408667237968 is an apocalyptic number.

408667237968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408667237968 is an abundant number, since it is smaller than the sum of its proper divisors (780182956464).

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

408667237968 is a wasteful number, since it uses less digits than its factorization.

408667237968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24967504 (or 24967498 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 408667237968 in words is "four hundred eight billion, six hundred sixty-seven million, two hundred thirty-seven thousand, nine hundred sixty-eight".