4114003275480 has 384 divisors, whose sum is σ = 14828769792000. Its totient is φ = 909481466880.

The previous prime is 4114003275479. The next prime is 4114003275523. The reversal of 4114003275480 is 845723004114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371663386 + ... + 371674454.

It is an arithmetic number, because the mean of its divisors is an integer number (38616588000).

Almost surely, 2^{4114003275480} is an apocalyptic number.

4114003275480 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 4114003275480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414384896000).

4114003275480 is an abundant number, since it is smaller than the sum of its proper divisors (10714766516520).

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

4114003275480 is a wasteful number, since it uses less digits than its factorization.

4114003275480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 4114003275480 its reverse (845723004114), we get a palindrome (4959726279594).

The spelling of 4114003275480 in words is "four trillion, one hundred fourteen billion, three million, two hundred seventy-five thousand, four hundred eighty".