4033978800 has 120 divisors (see below), whose sum is σ = 13134256080. Its totient is φ = 1058073600.

The previous prime is 4033978799. The next prime is 4033978811. The reversal of 4033978800 is 88793304.

It is a tau number, because it is divible by the number of its divisors (120).

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, 45646 + ... + 100754.

It is an arithmetic number, because the mean of its divisors is an integer number (109452134).

Almost surely, 2^4033978800 is an apocalyptic number.

4033978800 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 4033978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567128040).

4033978800 is an abundant number, since it is smaller than the sum of its proper divisors (9100277280).

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

4033978800 is a wasteful number, since it uses less digits than its factorization.

4033978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55191 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4033978800 is about 63513.6111396604. The cubic root of 4033978800 is about 1591.8832161836.

The spelling of 4033978800 in words is "four billion, thirty-three million, nine hundred seventy-eight thousand, eight hundred".