31748533440 has 448 divisors, whose sum is σ = 113063731200. Its totient is φ = 7495188480.

The previous prime is 31748533429. The next prime is 31748533457. The reversal of 31748533440 is 4433584713.

It is a junction number, because it is equal to n+sod(n) for n = 31748533392 and 31748533401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53002261 + ... + 53002859.

It is an arithmetic number, because the mean of its divisors is an integer number (252374400).

Almost surely, 2^31748533440 is an apocalyptic number.

31748533440 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 31748533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56531865600).

31748533440 is an abundant number, since it is smaller than the sum of its proper divisors (81315197760).

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

31748533440 is a wasteful number, since it uses less digits than its factorization.

31748533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 31748533440 in words is "thirty-one billion, seven hundred forty-eight million, five hundred thirty-three thousand, four hundred forty".