31045081200 has 240 divisors, whose sum is σ = 113902947840. Its totient is φ = 7080514560.

The previous prime is 31045081187. The next prime is 31045081211. The reversal of 31045081200 is 218054013.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4087006 + ... + 4094594.

It is an arithmetic number, because the mean of its divisors is an integer number (474595616).

Almost surely, 2^31045081200 is an apocalyptic number.

31045081200 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 31045081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56951473920).

31045081200 is an abundant number, since it is smaller than the sum of its proper divisors (82857866640).

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

31045081200 is a wasteful number, since it uses less digits than its factorization.

31045081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 31045081200 in words is "thirty-one billion, forty-five million, eighty-one thousand, two hundred".