4016135808 has 96 divisors (see below), whose sum is σ = 11929756800. Its totient is φ = 1295516160.

The previous prime is 4016135779. The next prime is 4016135843. The reversal of 4016135808 is 8085316104.

4016135808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4016135808² = 32258693656599625728, 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 11 ways as a sum of consecutive naturals, for example, 20518 + ... + 91941.

It is an arithmetic number, because the mean of its divisors is an integer number (124268300).

Almost surely, 2^4016135808 is an apocalyptic number.

4016135808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4016135808 is an abundant number, since it is smaller than the sum of its proper divisors (7913620992).

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

4016135808 is a wasteful number, since it uses less digits than its factorization.

4016135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112510 (or 112495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4016135808 is about 63372.9895775795. The cubic root of 4016135808 is about 1589.5326881093.

The spelling of 4016135808 in words is "four billion, sixteen million, one hundred thirty-five thousand, eight hundred eight".