401400144 has 80 divisors (see below), whose sum is σ = 1154588800. Its totient is φ = 133519104.

The previous prime is 401400143. The next prime is 401400151. The reversal of 401400144 is 441004104.

It is a super-2 number, since 2×401400144² = 322244151206441472, 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 not an unprimeable number, because it can be changed into a prime (401400143) 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, 354972 + ... + 356100.

It is an arithmetic number, because the mean of its divisors is an integer number (14432360).

Almost surely, 2^401400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577294400).

401400144 is an abundant number, since it is smaller than the sum of its proper divisors (753188656).

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

401400144 is a wasteful number, since it uses less digits than its factorization.

401400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1957 counting only the distinct ones).

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

The square root of 401400144 is about 20034.9730221930. The cubic root of 401400144 is about 737.6649943591.

Adding to 401400144 its reverse (441004104), we get a palindrome (842404248).

The spelling of 401400144 in words is "four hundred one million, four hundred thousand, one hundred forty-four".