401817449968 has 80 divisors (see below), whose sum is σ = 860293187712. Its totient is φ = 180283232000.

The previous prime is 401817449899. The next prime is 401817449993. The reversal of 401817449968 is 869944718104.

It is a super-2 number, since 2×401817449968² (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17240403 + ... + 17263693.

Almost surely, 2^401817449968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401817449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430146593856).

401817449968 is an abundant number, since it is smaller than the sum of its proper divisors (458475737744).

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

401817449968 is a wasteful number, since it uses less digits than its factorization.

401817449968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24574 (or 24568 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The spelling of 401817449968 in words is "four hundred one billion, eight hundred seventeen million, four hundred forty-nine thousand, nine hundred sixty-eight".