4121922816 has 360 divisors, whose sum is σ = 14210247744. Its totient is φ = 1174487040.

The previous prime is 4121922811. The next prime is 4121922839. The reversal of 4121922816 is 6182291214.

4121922816 is a `hidden beast` number, since 412 + 1 + 9 + 228 + 16 = 666.

4121922816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4121922816² = 33980495402122739712, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121922811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3877101 + ... + 3878163.

Almost surely, 2^4121922816 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 4121922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105123872).

4121922816 is an abundant number, since it is smaller than the sum of its proper divisors (10088324928).

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

4121922816 is a wasteful number, since it uses less digits than its factorization.

4121922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 4121922816 is about 64202.2025790393. The cubic root of 4121922816 is about 1603.3682709103.

The spelling of 4121922816 in words is "four billion, one hundred twenty-one million, nine hundred twenty-two thousand, eight hundred sixteen".