401044144032 has 864 divisors, whose sum is σ = 1495768135680. Its totient is φ = 104992796160.

The previous prime is 401044144021. The next prime is 401044144073. The reversal of 401044144032 is 230441440104.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×401044144032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401044143987 and 401044144005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224422243 + ... + 224424029.

It is an arithmetic number, because the mean of its divisors is an integer number (1731213120).

Almost surely, 2^401044144032 is an apocalyptic number.

401044144032 is a gapful number since it is divisible by the number (42) 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 401044144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747884067840).

401044144032 is an abundant number, since it is smaller than the sum of its proper divisors (1094723991648).

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

401044144032 is a wasteful number, since it uses less digits than its factorization.

401044144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 401044144032 its reverse (230441440104), we get a palindrome (631485584136).

The spelling of 401044144032 in words is "four hundred one billion, forty-four million, one hundred forty-four thousand, thirty-two".