401786661768192 has 264 divisors, whose sum is σ = 1273890502147536. Its totient is φ = 126050716090368.

The previous prime is 401786661768077. The next prime is 401786661768227. The reversal of 401786661768192 is 291867166687104.

It is a super-2 number, since 2×401786661768192² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 401786661768192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43260753 + ... + 51721040.

Almost surely, 2^{401786661768192} is an apocalyptic number.

It is an amenable number.

401786661768192 is an abundant number, since it is smaller than the sum of its proper divisors (872103840379344).

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

401786661768192 is an equidigital number, since it uses as much as digits as its factorization.

401786661768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94981845 (or 94981815 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 401786661768192 in words is "four hundred one trillion, seven hundred eighty-six billion, six hundred sixty-one million, seven hundred sixty-eight thousand, one hundred ninety-two".