4918012416 has 240 divisors, whose sum is σ = 15476926080. Its totient is φ = 1541652480.

The previous prime is 4918012403. The next prime is 4918012427. The reversal of 4918012416 is 6142108194.

It is a super-2 number, since 2×4918012416² = 48373692247860314112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3994521 + ... + 3995751.

It is an arithmetic number, because the mean of its divisors is an integer number (64487192).

Almost surely, 2^4918012416 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 4918012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738463040).

4918012416 is an abundant number, since it is smaller than the sum of its proper divisors (10558913664).

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

4918012416 is a wasteful number, since it uses less digits than its factorization.

4918012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4918012416 is about 70128.5420923607. The cubic root of 4918012416 is about 1700.5779368340.

The spelling of 4918012416 in words is "four billion, nine hundred eighteen million, twelve thousand, four hundred sixteen".