31004404440 has 128 divisors (see below), whose sum is σ = 98244921600. Its totient is φ = 7805790720.

The previous prime is 31004404429. The next prime is 31004404441. The reversal of 31004404440 is 4440440013.

It is a super-2 number, since 2×31004404440² (a number of 22 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 31004404440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004404441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644835 + ... + 691245.

It is an arithmetic number, because the mean of its divisors is an integer number (767538450).

Almost surely, 2^31004404440 is an apocalyptic number.

31004404440 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 31004404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49122460800).

31004404440 is an abundant number, since it is smaller than the sum of its proper divisors (67240517160).

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

31004404440 is a wasteful number, since it uses less digits than its factorization.

31004404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46737 (or 46733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 31004404440 its reverse (4440440013), we get a palindrome (35444844453).

The spelling of 31004404440 in words is "thirty-one billion, four million, four hundred four thousand, four hundred forty".