400441141320 has 192 divisors, whose sum is σ = 1322157936960. Its totient is φ = 96952035840.

The previous prime is 400441141291. The next prime is 400441141339. The reversal of 400441141320 is 23141144004.

It is a super-2 number, since 2×400441141320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11555139 + ... + 11589741.

It is an arithmetic number, because the mean of its divisors is an integer number (6886239255).

Almost surely, 2^400441141320 is an apocalyptic number.

400441141320 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 400441141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661078968480).

400441141320 is an abundant number, since it is smaller than the sum of its proper divisors (921716795640).

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

400441141320 is a wasteful number, since it uses less digits than its factorization.

400441141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35436 (or 35421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 400441141320 its reverse (23141144004), we get a palindrome (423582285324).

The spelling of 400441141320 in words is "four hundred billion, four hundred forty-one million, one hundred forty-one thousand, three hundred twenty".