4153737216 has 136 divisors (see below), whose sum is σ = 11395837024. Its totient is φ = 1344798720.

The previous prime is 4153737209. The next prime is 4153737221. The reversal of 4153737216 is 6127373514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7274211 + ... + 7274781.

Almost surely, 2^4153737216 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 4153737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697918512).

4153737216 is an abundant number, since it is smaller than the sum of its proper divisors (7242099808).

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

4153737216 is an frugal number, since it uses more digits than its factorization.

4153737216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 613 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 4153737216 is about 64449.4935278781. The cubic root of 4153737216 is about 1607.4828167700.

The spelling of 4153737216 in words is "four billion, one hundred fifty-three million, seven hundred thirty-seven thousand, two hundred sixteen".