4071998304 has 480 divisors, whose sum is σ = 14331727872. Its totient is φ = 1119744000.

The previous prime is 4071998303. The next prime is 4071998309. The reversal of 4071998304 is 4038991704.

4071998304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4071998304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4071998303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15025689 + ... + 15025959.

Almost surely, 2^4071998304 is an apocalyptic number.

4071998304 is a gapful number since it is divisible by the number (44) 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 4071998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165863936).

4071998304 is an abundant number, since it is smaller than the sum of its proper divisors (10259729568).

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

4071998304 is a wasteful number, since it uses less digits than its factorization.

4071998304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4071998304 is about 63812.2112451841. The cubic root of 4071998304 is about 1596.8686548380.

The spelling of 4071998304 in words is "four billion, seventy-one million, nine hundred ninety-eight thousand, three hundred four".