4314877204480 has 384 divisors, whose sum is σ = 10875244161600. Its totient is φ = 1640955904000.

The previous prime is 4314877204441. The next prime is 4314877204487. The reversal of 4314877204480 is 844027784134.

It is a super-2 number, since 2×4314877204480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314877204487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8787937035 + ... + 8787937525.

Almost surely, 2^{4314877204480} is an apocalyptic number.

4314877204480 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 4314877204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437622080800).

4314877204480 is an abundant number, since it is smaller than the sum of its proper divisors (6560366957120).

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

4314877204480 is a wasteful number, since it uses less digits than its factorization.

4314877204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 52.

The spelling of 4314877204480 in words is "four trillion, three hundred fourteen billion, eight hundred seventy-seven million, two hundred four thousand, four hundred eighty".