4083914016 has 432 divisors, whose sum is σ = 14752201464. Its totient is φ = 1062125568.

The previous prime is 4083914011. The next prime is 4083914033. The reversal of 4083914016 is 6104193804.

4083914016 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 can be written as a sum of positive squares in 4 ways, for example, as 2809424016 + 1274490000 = 53004^2 + 35700^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4083914011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20730430 + ... + 20730626.

Almost surely, 2^4083914016 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 4083914016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376100732).

4083914016 is an abundant number, since it is smaller than the sum of its proper divisors (10668287448).

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

4083914016 is a wasteful number, since it uses less digits than its factorization.

4083914016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4083914016 is about 63905.5084949647. The cubic root of 4083914016 is about 1598.4247538003.

The spelling of 4083914016 in words is "four billion, eighty-three million, nine hundred fourteen thousand, sixteen".