30166214400 has 1296 divisors, whose sum is σ = 136172784384. Its totient is φ = 6449725440.

The previous prime is 30166214339. The next prime is 30166214411. The reversal of 30166214400 is 441266103.

30166214400 is a `hidden beast` number, since 30 + 1 + 6 + 621 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185068719 + ... + 185068881.

Almost surely, 2^30166214400 is an apocalyptic number.

30166214400 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 30166214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68086392192).

30166214400 is an abundant number, since it is smaller than the sum of its proper divisors (106006569984).

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

30166214400 is a wasteful number, since it uses less digits than its factorization.

30166214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30166214400 in words is "thirty billion, one hundred sixty-six million, two hundred fourteen thousand, four hundred".