400041312 has 96 divisors (see below), whose sum is σ = 1185166080. Its totient is φ = 117035520.

The previous prime is 400041269. The next prime is 400041353. The reversal of 400041312 is 213140004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 400041291 and 400041300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24093 + ... + 37155.

It is an arithmetic number, because the mean of its divisors is an integer number (12345480).

Almost surely, 2^400041312 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 400041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592583040).

400041312 is an abundant number, since it is smaller than the sum of its proper divisors (785124768).

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

400041312 is a wasteful number, since it uses less digits than its factorization.

400041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400041312 is about 20001.0327733345. The cubic root of 400041312 is about 736.8316646397.

Adding to 400041312 its reverse (213140004), we get a palindrome (613181316).

The spelling of 400041312 in words is "four hundred million, forty-one thousand, three hundred twelve".