4073296000 has 128 divisors (see below), whose sum is σ = 10661040000. Its totient is φ = 1543449600.

The previous prime is 4073295979. The next prime is 4073296001. The reversal of 4073296000 is 6923704.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4073296001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297301 + ... + 310699.

It is an arithmetic number, because the mean of its divisors is an integer number (83289375).

Almost surely, 2^4073296000 is an apocalyptic number.

4073296000 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 4073296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330520000).

4073296000 is an abundant number, since it is smaller than the sum of its proper divisors (6587744000).

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

4073296000 is a wasteful number, since it uses less digits than its factorization.

4073296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13447 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 4073296000 is about 63822.3785203905. The cubic root of 4073296000 is about 1597.0382709836.

The spelling of 4073296000 in words is "four billion, seventy-three million, two hundred ninety-six thousand".