4191349504 has 72 divisors (see below), whose sum is σ = 8502778368. Its totient is φ = 2061803520.

The previous prime is 4191349493. The next prime is 4191349553. The reversal of 4191349504 is 4059431914.

4191349504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4453674 + ... + 4454614.

It is an arithmetic number, because the mean of its divisors is an integer number (118094144).

Almost surely, 2^4191349504 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 4191349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251389184).

4191349504 is an abundant number, since it is smaller than the sum of its proper divisors (4311428864).

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

4191349504 is a wasteful number, since it uses less digits than its factorization.

4191349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 4191349504 is about 64740.6325579230. The cubic root of 4191349504 is about 1612.3201895849.

The spelling of 4191349504 in words is "four billion, one hundred ninety-one million, three hundred forty-nine thousand, five hundred four".