166940033400 has 384 divisors, whose sum is σ = 662196902400. Its totient is φ = 37865318400.

The previous prime is 166940033353. The next prime is 166940033401. The reversal of 166940033400 is 4330049661.

166940033400 is a `hidden beast` number, since 166 + 94 + 0 + 0 + 3 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166940033401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4934944 + ... + 4968656.

It is an arithmetic number, because the mean of its divisors is an integer number (1724471100).

Almost surely, 2^166940033400 is an apocalyptic number.

166940033400 is a gapful number since it is divisible by the number (10) 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 166940033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331098451200).

166940033400 is an abundant number, since it is smaller than the sum of its proper divisors (495256869000).

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

166940033400 is a wasteful number, since it uses less digits than its factorization.

166940033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33876 (or 33861 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 166940033400 in words is "one hundred sixty-six billion, nine hundred forty million, thirty-three thousand, four hundred".