166921430400 has 960 divisors, whose sum is σ = 641164431600. Its totient is φ = 42732748800.

The previous prime is 166921430399. The next prime is 166921430447. The reversal of 166921430400 is 4034129661.

166921430400 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 214 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 1200873531 + ... + 1200873669.

Almost surely, 2^166921430400 is an apocalyptic number.

166921430400 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 166921430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320582215800).

166921430400 is an abundant number, since it is smaller than the sum of its proper divisors (474243001200).

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

166921430400 is a wasteful number, since it uses less digits than its factorization.

166921430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 166921430400 in words is "one hundred sixty-six billion, nine hundred twenty-one million, four hundred thirty thousand, four hundred".