400112311312 has 160 divisors (see below), whose sum is σ = 922272399360. Its totient is φ = 164548730880.

The previous prime is 400112311309. The next prime is 400112311387. The reversal of 400112311312 is 213113211004.

It is a super-2 number, since 2×400112311312² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400112311312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256645989 + ... + 256647547.

It is an arithmetic number, because the mean of its divisors is an integer number (5764202496).

Almost surely, 2^400112311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400112311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461136199680).

400112311312 is an abundant number, since it is smaller than the sum of its proper divisors (522160088048).

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

400112311312 is a wasteful number, since it uses less digits than its factorization.

400112311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 400112311312 its reverse (213113211004), we get a palindrome (613225522316).

The spelling of 400112311312 in words is "four hundred billion, one hundred twelve million, three hundred eleven thousand, three hundred twelve".