4011916800 has 240 divisors, whose sum is σ = 13346860032. Its totient is φ = 1062297600.

The previous prime is 4011916793. The next prime is 4011916817. The reversal of 4011916800 is 86191104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7334127 + ... + 7334673.

Almost surely, 2^4011916800 is an apocalyptic number.

4011916800 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 4011916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673430016).

4011916800 is an abundant number, since it is smaller than the sum of its proper divisors (9334943232).

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

4011916800 is a wasteful number, since it uses less digits than its factorization.

4011916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 4011916800 is about 63339.6937157104. The cubic root of 4011916800 is about 1588.9758841600.

The spelling of 4011916800 in words is "four billion, eleven million, nine hundred sixteen thousand, eight hundred".