4082265216 has 640 divisors, whose sum is σ = 14395708800. Its totient is φ = 1138655232.

The previous prime is 4082265151. The next prime is 4082265221. The reversal of 4082265216 is 6125622804.

It is a happy number.

4082265216 is a `hidden beast` number, since 408 + 226 + 5 + 21 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77023846 + ... + 77023898.

It is an arithmetic number, because the mean of its divisors is an integer number (22493295).

Almost surely, 2^4082265216 is an apocalyptic number.

4082265216 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 4082265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197854400).

4082265216 is an abundant number, since it is smaller than the sum of its proper divisors (10313443584).

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

4082265216 is a wasteful number, since it uses less digits than its factorization.

4082265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4082265216 is about 63892.6068962599. The cubic root of 4082265216 is about 1598.2096139876.

The spelling of 4082265216 in words is "four billion, eighty-two million, two hundred sixty-five thousand, two hundred sixteen".