33985416240 has 240 divisors, whose sum is σ = 118816728576. Its totient is φ = 9027936000.

The previous prime is 33985416221. The next prime is 33985416247. The reversal of 33985416240 is 4261458933.

33985416240 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 541 + 62 + 40 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (33985416247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5265015 + ... + 5271465.

Almost surely, 2^33985416240 is an apocalyptic number.

33985416240 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 33985416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59408364288).

33985416240 is an abundant number, since it is smaller than the sum of its proper divisors (84831312336).

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

33985416240 is a wasteful number, since it uses less digits than its factorization.

33985416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 33985416240 in words is "thirty-three billion, nine hundred eighty-five million, four hundred sixteen thousand, two hundred forty".