401688662032000 has 1024 divisors, whose sum is σ = 1218986496000000. Its totient is φ = 128574447206400.

The previous prime is 401688662031997. The next prime is 401688662032139. The reversal of 401688662032000 is 230266886104.

It is a super-2 number, since 2×401688662032000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100699086006 + ... + 100699089994.

It is an arithmetic number, because the mean of its divisors is an integer number (1190416500000).

Almost surely, 2^{401688662032000} is an apocalyptic number.

401688662032000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401688662032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609493248000000).

401688662032000 is an abundant number, since it is smaller than the sum of its proper divisors (817297833968000).

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

401688662032000 is a wasteful number, since it uses less digits than its factorization.

401688662032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 401688662032000 in words is "four hundred one trillion, six hundred eighty-eight billion, six hundred sixty-two million, thirty-two thousand".