4091068800 has 864 divisors, whose sum is σ = 18369449280. Its totient is φ = 859299840.

The previous prime is 4091068789. The next prime is 4091068841. The reversal of 4091068800 is 88601904.

It is a happy number.

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 107 ways as a sum of consecutive naturals, for example, 18345489 + ... + 18345711.

Almost surely, 2^4091068800 is an apocalyptic number.

4091068800 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 4091068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184724640).

4091068800 is an abundant number, since it is smaller than the sum of its proper divisors (14278380480).

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

4091068800 is a wasteful number, since it uses less digits than its factorization.

4091068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4091068800 is about 63961.4633978930. The cubic root of 4091068800 is about 1599.3576588248.

The spelling of 4091068800 in words is "four billion, ninety-one million, sixty-eight thousand, eight hundred".