4015786016 has 96 divisors (see below), whose sum is σ = 9062928000. Its totient is φ = 1733754880.

The previous prime is 4015786001. The next prime is 4015786031. The reversal of 4015786016 is 6106875104.

It is an interprime number because it is at equal distance from previous prime (4015786001) and next prime (4015786031).

It is a super-2 number, since 2×4015786016² = 32253074652602304512, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1204640 + ... + 1207968.

It is an arithmetic number, because the mean of its divisors is an integer number (94405500).

Almost surely, 2^4015786016 is an apocalyptic number.

4015786016 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 4015786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531464000).

4015786016 is an abundant number, since it is smaller than the sum of its proper divisors (5047141984).

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

4015786016 is a wasteful number, since it uses less digits than its factorization.

4015786016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 4015786016 is about 63370.2297297398. The cubic root of 4015786016 is about 1589.4865391088.

The spelling of 4015786016 in words is "four billion, fifteen million, seven hundred eighty-six thousand, sixteen".