401044124000 has 192 divisors, whose sum is σ = 1087050549312. Its totient is φ = 144465408000.

The previous prime is 401044123981. The next prime is 401044124027. The reversal of 401044124000 is 421440104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037947 + ... + 2226053.

It is an arithmetic number, because the mean of its divisors is an integer number (5661721611).

Almost surely, 2^401044124000 is an apocalyptic number.

401044124000 is a gapful number since it is divisible by the number (40) 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 401044124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543525274656).

401044124000 is an abundant number, since it is smaller than the sum of its proper divisors (686006425312).

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

401044124000 is a wasteful number, since it uses less digits than its factorization.

401044124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188186 (or 188168 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 401044124000 its reverse (421440104), we get a palindrome (401465564104).

The spelling of 401044124000 in words is "four hundred one billion, forty-four million, one hundred twenty-four thousand".