401688429168 has 320 divisors, whose sum is σ = 1206867200000. Its totient is φ = 114066828288.

The previous prime is 401688429167. The next prime is 401688429173. The reversal of 401688429168 is 861924886104.

It is a happy number.

It is a super-2 number, since 2×401688429168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401688429167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 254393403 + ... + 254394981.

It is an arithmetic number, because the mean of its divisors is an integer number (3771460000).

Almost surely, 2^401688429168 is an apocalyptic number.

401688429168 is a gapful number since it is divisible by the number (48) 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 401688429168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603433600000).

401688429168 is an abundant number, since it is smaller than the sum of its proper divisors (805178770832).

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

401688429168 is a wasteful number, since it uses less digits than its factorization.

401688429168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 401688429168 in words is "four hundred one billion, six hundred eighty-eight million, four hundred twenty-nine thousand, one hundred sixty-eight".