400110144 has 224 divisors, whose sum is σ = 1271966976. Its totient is φ = 108625920.

The previous prime is 400110143. The next prime is 400110173. The reversal of 400110144 is 441011004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400110143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920444 + ... + 2920580.

It is an arithmetic number, because the mean of its divisors is an integer number (5678424).

Almost surely, 2^400110144 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 400110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635983488).

400110144 is an abundant number, since it is smaller than the sum of its proper divisors (871856832).

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

400110144 is a wasteful number, since it uses less digits than its factorization.

400110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 400110144 is about 20002.7534104683. The cubic root of 400110144 is about 736.8739225158.

Adding to 400110144 its reverse (441011004), we get a palindrome (841121148).

The spelling of 400110144 in words is "four hundred million, one hundred ten thousand, one hundred forty-four".