4113315789480 has 256 divisors, whose sum is σ = 14005963238400. Its totient is φ = 1073538489600.

The previous prime is 4113315789361. The next prime is 4113315789487. The reversal of 4113315789480 is 849875133114.

4113315789480 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 3 + 157 + 8 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4113315789487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9377055 + ... + 9805905.

It is an arithmetic number, because the mean of its divisors is an integer number (54710793900).

Almost surely, 2^{4113315789480} is an apocalyptic number.

4113315789480 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 4113315789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002981619200).

4113315789480 is an abundant number, since it is smaller than the sum of its proper divisors (9892647448920).

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

4113315789480 is a wasteful number, since it uses less digits than its factorization.

4113315789480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429061 (or 429051 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4113315789480 in words is "four trillion, one hundred thirteen billion, three hundred fifteen million, seven hundred eighty-nine thousand, four hundred eighty".