401662417400 has 96 divisors (see below), whose sum is σ = 942657047040. Its totient is φ = 159156264960.

The previous prime is 401662417337. The next prime is 401662417411. The reversal of 401662417400 is 4714266104.

It is a super-2 number, since 2×401662417400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17082452 + ... + 17105948.

It is an arithmetic number, because the mean of its divisors is an integer number (9819344240).

Almost surely, 2^401662417400 is an apocalyptic number.

401662417400 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 401662417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471328523520).

401662417400 is an abundant number, since it is smaller than the sum of its proper divisors (540994629640).

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

401662417400 is a wasteful number, since it uses less digits than its factorization.

401662417400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24313 (or 24304 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 401662417400 in words is "four hundred one billion, six hundred sixty-two million, four hundred seventeen thousand, four hundred".