4146189149700 has 288 divisors, whose sum is σ = 14357215662720. Its totient is φ = 1020411302400.

The previous prime is 4146189149689. The next prime is 4146189149723. The reversal of 4146189149700 is 79419816414.

It is a happy number.

4146189149700 is a `hidden beast` number, since 4 + 1 + 4 + 61 + 8 + 91 + 497 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339094987 + ... + 339107213.

Almost surely, 2^{4146189149700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146189149700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178607831360).

4146189149700 is an abundant number, since it is smaller than the sum of its proper divisors (10211026513020).

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

4146189149700 is a wasteful number, since it uses less digits than its factorization.

4146189149700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21911 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 4146189149700 in words is "four trillion, one hundred forty-six billion, one hundred eighty-nine million, one hundred forty-nine thousand, seven hundred".