4099167129600 has 1755 divisors, whose sum is σ = 16470358913547. Its totient is φ = 1007590440960.

The previous prime is 4099167129569. The next prime is 4099167129641. The reversal of 4099167129600 is 69217619904.

It is a happy number.

The square root of 4099167129600 is 2024640.

It is a perfect power (a square), and thus also a powerful number.

4099167129600 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 1 + 6 + 7 + 1 + 29 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389136420864 + 3710030708736 = 623808^2 + 1926144^2 .

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 134 ways as a sum of consecutive naturals, for example, 110788300782 + ... + 110788300818.

Almost surely, 2^{4099167129600} is an apocalyptic number.

4099167129600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4099167129600 is the 2024640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099167129600

4099167129600 is an abundant number, since it is smaller than the sum of its proper divisors (12371191783947).

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

4099167129600 is an equidigital number, since it uses as much as digits as its factorization.

4099167129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 4099167129600 in words is "four trillion, ninety-nine billion, one hundred sixty-seven million, one hundred twenty-nine thousand, six hundred".