400101312 has 112 divisors (see below), whose sum is σ = 1148417312. Its totient is φ = 122204160.

The previous prime is 400101311. The next prime is 400101319. The reversal of 400101312 is 213101004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391362 + ... + 392382.

It is an arithmetic number, because the mean of its divisors is an integer number (10253726).

Almost surely, 2^400101312 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 400101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574208656).

400101312 is an abundant number, since it is smaller than the sum of its proper divisors (748316000).

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

400101312 is a wasteful number, since it uses less digits than its factorization.

400101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 400101312 is about 20002.5326396434. The cubic root of 400101312 is about 736.8685005768.

Adding to 400101312 its reverse (213101004), we get a palindrome (613202316).

The spelling of 400101312 in words is "four hundred million, one hundred one thousand, three hundred twelve".