33666701040 has 120 divisors (see below), whose sum is σ = 129216024288. Its totient is φ = 7695244800.

The previous prime is 33666701039. The next prime is 33666701059. The reversal of 33666701040 is 4010766633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33666701040² (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 = 33666700986 and 33666701004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334911 + ... + 3344990.

Almost surely, 2^33666701040 is an apocalyptic number.

33666701040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33666701040 is an abundant number, since it is smaller than the sum of its proper divisors (95549323248).

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

33666701040 is a wasteful number, since it uses less digits than its factorization.

33666701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679927 (or 6679918 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 33666701040 in words is "thirty-three billion, six hundred sixty-six million, seven hundred one thousand, forty".