33407978940 has 288 divisors, whose sum is σ = 120481320960. Its totient is φ = 7332249600.

The previous prime is 33407978833. The next prime is 33407978953. The reversal of 33407978940 is 4987970433.

33407978940 is a `hidden beast` number, since 33 + 407 + 97 + 89 + 40 = 666.

It is a super-2 number, since 2×33407978940² (a number of 22 digits) contains 22 as substring.

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, 5113596 + ... + 5120124.

It is an arithmetic number, because the mean of its divisors is an integer number (418337920).

Almost surely, 2^33407978940 is an apocalyptic number.

33407978940 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 33407978940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60240660480).

33407978940 is an abundant number, since it is smaller than the sum of its proper divisors (87073342020).

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

33407978940 is a wasteful number, since it uses less digits than its factorization.

33407978940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 33407978940 in words is "thirty-three billion, four hundred seven million, nine hundred seventy-eight thousand, nine hundred forty".