31440441120 has 192 divisors, whose sum is σ = 108604105344. Its totient is φ = 7582187520.

The previous prime is 31440441119. The next prime is 31440441133. The reversal of 31440441120 is 2114404413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003614 + ... + 1034466.

It is an arithmetic number, because the mean of its divisors is an integer number (565646382).

Almost surely, 2^31440441120 is an apocalyptic number.

31440441120 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 31440441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54302052672).

31440441120 is an abundant number, since it is smaller than the sum of its proper divisors (77163664224).

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

31440441120 is a wasteful number, since it uses less digits than its factorization.

31440441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31075 (or 31067 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31440441120 its reverse (2114404413), we get a palindrome (33554845533).

The spelling of 31440441120 in words is "thirty-one billion, four hundred forty million, four hundred forty-one thousand, one hundred twenty".