4095052416 has 512 divisors, whose sum is σ = 15422400000. Its totient is φ = 1040449536.

The previous prime is 4095052369. The next prime is 4095052417. The reversal of 4095052416 is 6142505904.

4095052416 is a `hidden beast` number, since 40 + 95 + 0 + 524 + 1 + 6 = 666.

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 (4095052417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120160 + ... + 9120608.

It is an arithmetic number, because the mean of its divisors is an integer number (30121875).

Almost surely, 2^4095052416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200000).

4095052416 is an abundant number, since it is smaller than the sum of its proper divisors (11327347584).

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

4095052416 is a wasteful number, since it uses less digits than its factorization.

4095052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4095052416 is about 63992.5965717910. The cubic root of 4095052416 is about 1599.8766071508.

The spelling of 4095052416 in words is "four billion, ninety-five million, fifty-two thousand, four hundred sixteen".