4011796800 has 1008 divisors, whose sum is σ = 17295083520. Its totient is φ = 870912000.

The previous prime is 4011796771. The next prime is 4011796807. The reversal of 4011796800 is 86971104.

4011796800 is a `hidden beast` number, since 401 + 179 + 6 + 80 + 0 = 666.

4011796800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011796807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93297579 + ... + 93297621.

Almost surely, 2^4011796800 is an apocalyptic number.

4011796800 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 4011796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647541760).

4011796800 is an abundant number, since it is smaller than the sum of its proper divisors (13283286720).

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

4011796800 is a wasteful number, since it uses less digits than its factorization.

4011796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

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

The square root of 4011796800 is about 63338.7464353377. The cubic root of 4011796800 is about 1588.9600414414.

The spelling of 4011796800 in words is "four billion, eleven million, seven hundred ninety-six thousand, eight hundred".