401312440 has 64 divisors (see below), whose sum is σ = 937720800. Its totient is φ = 154387968.

The previous prime is 401312437. The next prime is 401312459. The reversal of 401312440 is 44213104.

It is a super-2 number, since 2×401312440² = 322103348997507200, which 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402022 + ... + 403018.

Almost surely, 2^401312440 is an apocalyptic number.

401312440 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 401312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468860400).

401312440 is an abundant number, since it is smaller than the sum of its proper divisors (536408360).

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

401312440 is a wasteful number, since it uses less digits than its factorization.

401312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 401312440 is about 20032.7841300205. The cubic root of 401312440 is about 737.6112650284.

Adding to 401312440 its reverse (44213104), we get a palindrome (445525544).

The spelling of 401312440 in words is "four hundred one million, three hundred twelve thousand, four hundred forty".