331404113040 has 1280 divisors, whose sum is σ = 1479169327104. Its totient is φ = 59122483200.

The previous prime is 331404113023. The next prime is 331404113059. The reversal of 331404113040 is 40311404133.

It is a super-2 number, since 2×331404113040² (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 a self number, because there is not a number n which added to its sum of digits gives 331404113040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204443430 + ... + 204445050.

Almost surely, 2^331404113040 is an apocalyptic number.

331404113040 is a gapful number since it is divisible by the number (30) 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 331404113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739584663552).

331404113040 is an abundant number, since it is smaller than the sum of its proper divisors (1147765214064).

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

331404113040 is a wasteful number, since it uses less digits than its factorization.

331404113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 331404113040 its reverse (40311404133), we get a palindrome (371715517173).

It can be divided in two parts, 331404 and 113040, that added together give a palindrome (444444).

The spelling of 331404113040 in words is "three hundred thirty-one billion, four hundred four million, one hundred thirteen thousand, forty".