31321141440 has 224 divisors, whose sum is σ = 103074094080. Its totient is φ = 8048603136.

The previous prime is 31321141421. The next prime is 31321141463. The reversal of 31321141440 is 4414112313.

It is a super-2 number, since 2×31321141440² (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 31321141440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22911637 + ... + 22913003.

Almost surely, 2^31321141440 is an apocalyptic number.

31321141440 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 31321141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51537047040).

31321141440 is an abundant number, since it is smaller than the sum of its proper divisors (71752952640).

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

31321141440 is a wasteful number, since it uses less digits than its factorization.

31321141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31321141440 its reverse (4414112313), we get a palindrome (35735253753).

The spelling of 31321141440 in words is "thirty-one billion, three hundred twenty-one million, one hundred forty-one thousand, four hundred forty".