33981742080 has 1056 divisors, whose sum is σ = 144205221888. Its totient is φ = 7564492800.

The previous prime is 33981742073. The next prime is 33981742147. The reversal of 33981742080 is 8024718933.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

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, 177914785 + ... + 177914975.

Almost surely, 2^33981742080 is an apocalyptic number.

33981742080 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 33981742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72102610944).

33981742080 is an abundant number, since it is smaller than the sum of its proper divisors (110223479808).

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

33981742080 is a wasteful number, since it uses less digits than its factorization.

33981742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 33981742080 in words is "thirty-three billion, nine hundred eighty-one million, seven hundred forty-two thousand, eighty".