4171960800 has 864 divisors, whose sum is σ = 18133839360. Its totient is φ = 881971200.

The previous prime is 4171960759. The next prime is 4171960829. The reversal of 4171960800 is 80691714.

4171960800 is a `hidden beast` number, since 41 + 7 + 1 + 9 + 608 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 68392770 + ... + 68392830.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^4171960800 is an apocalyptic number.

4171960800 is a gapful number since it is divisible by the number (40) 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 4171960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066919680).

4171960800 is an abundant number, since it is smaller than the sum of its proper divisors (13961878560).

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

4171960800 is a wasteful number, since it uses less digits than its factorization.

4171960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 4171960800 is about 64590.7175993579. The cubic root of 4171960800 is about 1609.8302098379.

The spelling of 4171960800 in words is "four billion, one hundred seventy-one million, nine hundred sixty thousand, eight hundred".