400401144 has 320 divisors, whose sum is σ = 1372140000. Its totient is φ = 107412480.

The previous prime is 400401137. The next prime is 400401191. The reversal of 400401144 is 441104004.

It is a super-2 number, since 2×400401144² = 320642152233017472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2687182 + ... + 2687330.

Almost surely, 2^400401144 is an apocalyptic number.

400401144 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 400401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070000).

400401144 is an abundant number, since it is smaller than the sum of its proper divisors (971738856).

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

400401144 is a wasteful number, since it uses less digits than its factorization.

400401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 400401144 is about 20010.0260869395. The cubic root of 400401144 is about 737.0525219595.

Adding to 400401144 its reverse (441104004), we get a palindrome (841505148).

The spelling of 400401144 in words is "four hundred million, four hundred one thousand, one hundred forty-four".