4016882688 has 176 divisors, whose sum is σ = 13178094720. Its totient is φ = 1059323904.

The previous prime is 4016882687. The next prime is 4016882693. The reversal of 4016882688 is 8862886104.

It is a super-2 number, since 2×4016882688² = 32270693058308210688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4016882688.

It is not an unprimeable number, because it can be changed into a prime (4016882687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272368 + ... + 286736.

Almost surely, 2^4016882688 is an apocalyptic number.

4016882688 is a gapful number since it is divisible by the number (48) 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 4016882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589047360).

4016882688 is an abundant number, since it is smaller than the sum of its proper divisors (9161212032).

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

4016882688 is a wasteful number, since it uses less digits than its factorization.

4016882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14412 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 4016882688 is about 63378.8820349491. The cubic root of 4016882688 is about 1589.6312170307.

The spelling of 4016882688 in words is "four billion, sixteen million, eight hundred eighty-two thousand, six hundred eighty-eight".