33996695040 has 480 divisors, whose sum is σ = 146800532736. Its totient is φ = 7063879680.

The previous prime is 33996695017. The next prime is 33996695093. The reversal of 33996695040 is 4059669933.

It is a tau number, because it is divible by the number of its divisors (480).

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, 1764499 + ... + 1783661.

Almost surely, 2^33996695040 is an apocalyptic number.

33996695040 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 33996695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73400266368).

33996695040 is an abundant number, since it is smaller than the sum of its proper divisors (112803837696).

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

33996695040 is a wasteful number, since it uses less digits than its factorization.

33996695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19210 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 33996695040 in words is "thirty-three billion, nine hundred ninety-six million, six hundred ninety-five thousand, forty".