4071924416 has 112 divisors (see below), whose sum is σ = 9691176960. Its totient is φ = 1659694080.

The previous prime is 4071924403. The next prime is 4071924421. The reversal of 4071924416 is 6144291704.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 4071924416.

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, 1967030 + ... + 1969098.

Almost surely, 2^4071924416 is an apocalyptic number.

4071924416 is a gapful number since it is divisible by the number (46) 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 4071924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845588480).

4071924416 is an abundant number, since it is smaller than the sum of its proper divisors (5619252544).

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

4071924416 is a wasteful number, since it uses less digits than its factorization.

4071924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4071924416 is about 63811.6322938067. The cubic root of 4071924416 is about 1596.8589961777.

The spelling of 4071924416 in words is "four billion, seventy-one million, nine hundred twenty-four thousand, four hundred sixteen".