33990142720 has 216 divisors, whose sum is σ = 91003245984. Its totient is φ = 12119998464.

The previous prime is 33990142717. The next prime is 33990142741. The reversal of 33990142720 is 2724109933.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7853197 + ... + 7857523.

It is an arithmetic number, because the mean of its divisors is an integer number (421311324).

Almost surely, 2^33990142720 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 33990142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45501622992).

33990142720 is an abundant number, since it is smaller than the sum of its proper divisors (57013103264).

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

33990142720 is a wasteful number, since it uses less digits than its factorization.

33990142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 33990142720 in words is "thirty-three billion, nine hundred ninety million, one hundred forty-two thousand, seven hundred twenty".