4075416072 has 384 divisors, whose sum is σ = 14388192000. Its totient is φ = 1045923840.

The previous prime is 4075416071. The next prime is 4075416089. The reversal of 4075416072 is 2706145704.

4075416072 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 41 + 607 + 2 = 666.

4075416072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4075416071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10476454 + ... + 10476842.

It is an arithmetic number, because the mean of its divisors is an integer number (37469250).

Almost surely, 2^4075416072 is an apocalyptic number.

4075416072 is a gapful number since it is divisible by the number (42) 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 4075416072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194096000).

4075416072 is an abundant number, since it is smaller than the sum of its proper divisors (10312775928).

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

4075416072 is a wasteful number, since it uses less digits than its factorization.

4075416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4075416072 is about 63838.9855182552. The cubic root of 4075416072 is about 1597.3152987984.

The spelling of 4075416072 in words is "four billion, seventy-five million, four hundred sixteen thousand, seventy-two".