401132304440 has 192 divisors, whose sum is σ = 1066814115840. Its totient is φ = 135320613120.

The previous prime is 401132304413. The next prime is 401132304533. The reversal of 401132304440 is 44403231104.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 190018985 + ... + 190021095.

It is an arithmetic number, because the mean of its divisors is an integer number (5556323520).

Almost surely, 2^401132304440 is an apocalyptic number.

401132304440 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 401132304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533407057920).

401132304440 is an abundant number, since it is smaller than the sum of its proper divisors (665681811400).

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

401132304440 is a wasteful number, since it uses less digits than its factorization.

401132304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 401132304440 its reverse (44403231104), we get a palindrome (445535535544).

The spelling of 401132304440 in words is "four hundred one billion, one hundred thirty-two million, three hundred four thousand, four hundred forty".