31328005665040 has 160 divisors (see below), whose sum is σ = 85263022031616. Its totient is φ = 10480874342400.

The previous prime is 31328005665017. The next prime is 31328005665041. The reversal of 31328005665040 is 4056650082313.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (31328005665041) 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, 23750890 + ... + 25035190.

Almost surely, 2^{31328005665040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31328005665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631511015808).

31328005665040 is an abundant number, since it is smaller than the sum of its proper divisors (53935016366576).

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

31328005665040 is a wasteful number, since it uses less digits than its factorization.

31328005665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285377 (or 1285371 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 31328005665040 in words is "thirty-one trillion, three hundred twenty-eight billion, five million, six hundred sixty-five thousand, forty".