4151828016 has 720 divisors, whose sum is σ = 15642332160. Its totient is φ = 1058158080.

The previous prime is 4151828011. The next prime is 4151828027. The reversal of 4151828016 is 6108281514.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4151828011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112211550 + ... + 112211586.

Almost surely, 2^4151828016 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 4151828016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821166080).

4151828016 is an abundant number, since it is smaller than the sum of its proper divisors (11490504144).

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

4151828016 is a wasteful number, since it uses less digits than its factorization.

4151828016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 4151828016 is about 64434.6802273434. The cubic root of 4151828016 is about 1607.2364942929.

The spelling of 4151828016 in words is "four billion, one hundred fifty-one million, eight hundred twenty-eight thousand, sixteen".