4314479541120 has 1344 divisors, whose sum is σ = 18431940245040. Its totient is φ = 961904885760.

The previous prime is 4314479541103. The next prime is 4314479541149. The reversal of 4314479541120 is 211459744134.

4314479541120 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 479 + 54 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4314479541120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 937316739 + ... + 937321341.

Almost surely, 2^{4314479541120} is an apocalyptic number.

4314479541120 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 4314479541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215970122520).

4314479541120 is an abundant number, since it is smaller than the sum of its proper divisors (14117460703920).

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

4314479541120 is an equidigital number, since it uses as much as digits as its factorization.

4314479541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4314479541120 in words is "four trillion, three hundred fourteen billion, four hundred seventy-nine million, five hundred forty-one thousand, one hundred twenty".