400141331120 has 120 divisors (see below), whose sum is σ = 992133088704. Its totient is φ = 150053060608.

The previous prime is 400141331113. The next prime is 400141331141. The reversal of 400141331120 is 21133141004.

It is a super-2 number, since 2×400141331120² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 400141331092 and 400141331101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5908169 + ... + 5975511.

Almost surely, 2^400141331120 is an apocalyptic number.

400141331120 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 400141331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496066544352).

400141331120 is an abundant number, since it is smaller than the sum of its proper divisors (591991757584).

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

400141331120 is a wasteful number, since it uses less digits than its factorization.

400141331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67647 (or 67624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 400141331120 its reverse (21133141004), we get a palindrome (421274472124).

The spelling of 400141331120 in words is "four hundred billion, one hundred forty-one million, three hundred thirty-one thousand, one hundred twenty".