400004244133120 has 144 divisors (see below), whose sum is σ = 1045551150749952. Its totient is φ = 145412561018880.

The previous prime is 400004244133111. The next prime is 400004244133133. The reversal of 400004244133120 is 21331442400004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42820354 + ... + 51318526.

It is an arithmetic number, because the mean of its divisors is an integer number (7260771880208).

Almost surely, 2^{400004244133120} is an apocalyptic number.

400004244133120 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 400004244133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522775575374976).

400004244133120 is an abundant number, since it is smaller than the sum of its proper divisors (645546906616832).

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

400004244133120 is a wasteful number, since it uses less digits than its factorization.

400004244133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501548 (or 8501534 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 400004244133120 its reverse (21331442400004), we get a palindrome (421335686533124).

The spelling of 400004244133120 in words is "four hundred trillion, four billion, two hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".