401290627168 has 48 divisors (see below), whose sum is σ = 804231106560. Its totient is φ = 197068060800.

The previous prime is 401290627121. The next prime is 401290627207. The reversal of 401290627168 is 861726092104.

It is a super-2 number, since 2×401290627168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67303 + ... + 898393.

It is an arithmetic number, because the mean of its divisors is an integer number (16754814720).

Almost surely, 2^401290627168 is an apocalyptic number.

It is an amenable number.

401290627168 is an abundant number, since it is smaller than the sum of its proper divisors (402940479392).

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

401290627168 is a wasteful number, since it uses less digits than its factorization.

401290627168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831371 (or 831363 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 401290627168 in words is "four hundred one billion, two hundred ninety million, six hundred twenty-seven thousand, one hundred sixty-eight".