4461213792 has 96 divisors (see below), whose sum is σ = 13394045952. Its totient is φ = 1273641984.

The previous prime is 4461213767. The next prime is 4461213793. The reversal of 4461213792 is 2973121644.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4461213792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461213793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643028 + ... + 1645740.

It is an arithmetic number, because the mean of its divisors is an integer number (139521312).

Almost surely, 2^4461213792 is an apocalyptic number.

4461213792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4461213792 is an abundant number, since it is smaller than the sum of its proper divisors (8932832160).

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

4461213792 is a wasteful number, since it uses less digits than its factorization.

4461213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5172 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4461213792 is about 66792.3183607217. The cubic root of 4461213792 is about 1646.2066259733.

The spelling of 4461213792 in words is "four billion, four hundred sixty-one million, two hundred thirteen thousand, seven hundred ninety-two".