401606661984 has 384 divisors, whose sum is σ = 1243662336000. Its totient is φ = 112184064000.

The previous prime is 401606661971. The next prime is 401606662057. The reversal of 401606661984 is 489166606104.

It is a super-2 number, since 2×401606661984² (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 63 ways as a sum of consecutive naturals, for example, 119559697 + ... + 119563055.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704000).

Almost surely, 2^401606661984 is an apocalyptic number.

401606661984 is a gapful number since it is divisible by the number (44) 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 401606661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621831168000).

401606661984 is an abundant number, since it is smaller than the sum of its proper divisors (842055674016).

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

401606661984 is a wasteful number, since it uses less digits than its factorization.

401606661984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 401606661984 in words is "four hundred one billion, six hundred six million, six hundred sixty-one thousand, nine hundred eighty-four".