401404440 has 64 divisors (see below), whose sum is σ = 1229852160. Its totient is φ = 104762240.

The previous prime is 401404439. The next prime is 401404447. The reversal of 401404440 is 44404104.

It is a super-2 number, since 2×401404440² = 322251048903427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401404447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29946 + ... + 41225.

It is an arithmetic number, because the mean of its divisors is an integer number (19216440).

Almost surely, 2^401404440 is an apocalyptic number.

401404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401404440 is an abundant number, since it is smaller than the sum of its proper divisors (828447720).

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

401404440 is a wasteful number, since it uses less digits than its factorization.

401404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71232 (or 71228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 401404440 is about 20035.0802344288. The cubic root of 401404440 is about 737.6676259787.

Adding to 401404440 its reverse (44404104), we get a palindrome (445808544).

The spelling of 401404440 in words is "four hundred one million, four hundred four thousand, four hundred forty".