33961116240 has 240 divisors, whose sum is σ = 125235609408. Its totient is φ = 8523491328.

The previous prime is 33961116239. The next prime is 33961116253. The reversal of 33961116240 is 4261116933.

33961116240 is a `hidden beast` number, since 3 + 3 + 9 + 611 + 16 + 24 + 0 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 33961116195 and 33961116204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279099 + ... + 381861.

Almost surely, 2^33961116240 is an apocalyptic number.

33961116240 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 33961116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62617804704).

33961116240 is an abundant number, since it is smaller than the sum of its proper divisors (91274493168).

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

33961116240 is a wasteful number, since it uses less digits than its factorization.

33961116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102808 (or 102790 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 33961116240 in words is "thirty-three billion, nine hundred sixty-one million, one hundred sixteen thousand, two hundred forty".