4050944000 has 256 divisors, whose sum is σ = 10795973760. Its totient is φ = 1513881600.

The previous prime is 4050943997. The next prime is 4050944011. The reversal of 4050944000 is 4490504.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×4050944000² = 32820294582272000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94207979 + ... + 94208021.

Almost surely, 2^4050944000 is an apocalyptic number.

4050944000 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 4050944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397986880).

4050944000 is an abundant number, since it is smaller than the sum of its proper divisors (6745029760).

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

4050944000 is an frugal number, since it uses more digits than its factorization.

4050944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4050944000 is about 63647.0266391133. The cubic root of 4050944000 is about 1594.1116897936. Note that the first 3 decimals are identical.

The spelling of 4050944000 in words is "four billion, fifty million, nine hundred forty-four thousand".