4278016512 has 320 divisors, whose sum is σ = 15791846400. Its totient is φ = 1110896640.

The previous prime is 4278016481. The next prime is 4278016543. The reversal of 4278016512 is 2156108724.

It is an interprime number because it is at equal distance from previous prime (4278016481) and next prime (4278016543).

It is a super-2 number, since 2×4278016512² = 36602850553889292288, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062439 + ... + 1066457.

It is an arithmetic number, because the mean of its divisors is an integer number (49349520).

Almost surely, 2^4278016512 is an apocalyptic number.

4278016512 is a gapful number since it is divisible by the number (42) 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 4278016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895923200).

4278016512 is an abundant number, since it is smaller than the sum of its proper divisors (11513829888).

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

4278016512 is a wasteful number, since it uses less digits than its factorization.

4278016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4278016512 is about 65406.5479290873. The cubic root of 4278016512 is about 1623.3574265499.

The spelling of 4278016512 in words is "four billion, two hundred seventy-eight million, sixteen thousand, five hundred twelve".