4415974416 has 320 divisors, whose sum is σ = 15041894400. Its totient is φ = 1214313984.

The previous prime is 4415974411. The next prime is 4415974429. The reversal of 4415974416 is 6144795144.

4415974416 is a `hidden beast` number, since 4 + 4 + 1 + 597 + 44 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (4415974411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9455815 + ... + 9456281.

It is an arithmetic number, because the mean of its divisors is an integer number (47005920).

Almost surely, 2^4415974416 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 4415974416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520947200).

4415974416 is an abundant number, since it is smaller than the sum of its proper divisors (10625919984).

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

4415974416 is a wasteful number, since it uses less digits than its factorization.

4415974416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4415974416 is about 66452.7984060867. The cubic root of 4415974416 is about 1640.6232035637.

The spelling of 4415974416 in words is "four billion, four hundred fifteen million, nine hundred seventy-four thousand, four hundred sixteen".