33113939040 has 576 divisors, whose sum is σ = 145138646016. Its totient is φ = 6682300416.

The previous prime is 33113938981. The next prime is 33113939051. The reversal of 33113939040 is 4093931133.

It is a super-2 number, since 2×33113939040² (a number of 22 digits) contains 22 as substring.

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 = 33113938986 and 33113939004.

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, 3008427 + ... + 3019413.

It is an arithmetic number, because the mean of its divisors is an integer number (251976816).

Almost surely, 2^33113939040 is an apocalyptic number.

33113939040 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 33113939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72569323008).

33113939040 is an abundant number, since it is smaller than the sum of its proper divisors (112024706976).

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

33113939040 is a wasteful number, since it uses less digits than its factorization.

33113939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 33113939040 in words is "thirty-three billion, one hundred thirteen million, nine hundred thirty-nine thousand, forty".