4050393984 has 576 divisors, whose sum is σ = 15177183840. Its totient is φ = 1048080384.

The previous prime is 4050393937. The next prime is 4050394003. The reversal of 4050393984 is 4893930504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76422502 + ... + 76422554.

Almost surely, 2^4050393984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588591920).

4050393984 is an abundant number, since it is smaller than the sum of its proper divisors (11126789856).

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

4050393984 is an frugal number, since it uses more digits than its factorization.

4050393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4050393984 is about 63642.7056621574. The cubic root of 4050393984 is about 1594.0395398108.

The spelling of 4050393984 in words is "four billion, fifty million, three hundred ninety-three thousand, nine hundred eighty-four".