400441142000 has 160 divisors (see below), whose sum is σ = 990171000000. Its totient is φ = 156583296000.

The previous prime is 400441141957. The next prime is 400441142009. The reversal of 400441142000 is 241144004.

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 not an unprimeable number, because it can be changed into a prime (400441142009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21348626 + ... + 21367374.

It is an arithmetic number, because the mean of its divisors is an integer number (6188568750).

Almost surely, 2^400441142000 is an apocalyptic number.

400441142000 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 400441142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495085500000).

400441142000 is an abundant number, since it is smaller than the sum of its proper divisors (589729858000).

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

400441142000 is a wasteful number, since it uses less digits than its factorization.

400441142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 18996 counting only the distinct ones).

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

Adding to 400441142000 its reverse (241144004), we get a palindrome (400682286004).

The spelling of 400441142000 in words is "four hundred billion, four hundred forty-one million, one hundred forty-two thousand".