166641492326400 has 1440 divisors, whose sum is σ = 759638120361120. Its totient is φ = 35159444029440.

The previous prime is 166641492326371. The next prime is 166641492326459. The reversal of 166641492326400 is 4623294146661.

166641492326400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 377174422 + ... + 377615978.

It is an arithmetic number, because the mean of its divisors is an integer number (527526472473).

Almost surely, 2^{166641492326400} is an apocalyptic number.

166641492326400 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 166641492326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379819060180560).

166641492326400 is an abundant number, since it is smaller than the sum of its proper divisors (592996628034720).

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

166641492326400 is a wasteful number, since it uses less digits than its factorization.

166641492326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441621 (or 441587 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 166641492326400 in words is "one hundred sixty-six trillion, six hundred forty-one billion, four hundred ninety-two million, three hundred twenty-six thousand, four hundred".