33121988640 has 576 divisors, whose sum is σ = 132913872000. Its totient is φ = 7721754624.

The previous prime is 33121988629. The next prime is 33121988677. The reversal of 33121988640 is 4688912133.

It is a super-2 number, since 2×33121988640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9601636 + ... + 9605084.

It is an arithmetic number, because the mean of its divisors is an integer number (230753250).

Almost surely, 2^33121988640 is an apocalyptic number.

33121988640 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 33121988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456936000).

33121988640 is an abundant number, since it is smaller than the sum of its proper divisors (99791883360).

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

33121988640 is a wasteful number, since it uses less digits than its factorization.

33121988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 33121988640 in words is "thirty-three billion, one hundred twenty-one million, nine hundred eighty-eight thousand, six hundred forty".