4479114113920 has 128 divisors (see below), whose sum is σ = 10727599357440. Its totient is φ = 1788350152704.

The previous prime is 4479114113893. The next prime is 4479114113921. The reversal of 4479114113920 is 293114119744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4479114113921) 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, 996907194 + ... + 996911686.

It is an arithmetic number, because the mean of its divisors is an integer number (83809369980).

Almost surely, 2^{4479114113920} is an apocalyptic number.

4479114113920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4479114113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363799678720).

4479114113920 is an abundant number, since it is smaller than the sum of its proper divisors (6248485243520).

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

4479114113920 is a wasteful number, since it uses less digits than its factorization.

4479114113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 4479114113920 in words is "four trillion, four hundred seventy-nine billion, one hundred fourteen million, one hundred thirteen thousand, nine hundred twenty".