4113763048080 has 720 divisors, whose sum is σ = 16958419770240. Its totient is φ = 889285275648.

The previous prime is 4113763048051. The next prime is 4113763048081. The reversal of 4113763048080 is 808403673114.

4113763048080 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 7 + 630 + 4 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (4113763048081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72189679 + ... + 72246641.

It is an arithmetic number, because the mean of its divisors is an integer number (23553360792).

Almost surely, 2^{4113763048080} is an apocalyptic number.

4113763048080 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 4113763048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479209885120).

4113763048080 is an abundant number, since it is smaller than the sum of its proper divisors (12844656722160).

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

4113763048080 is a wasteful number, since it uses less digits than its factorization.

4113763048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57108 (or 57092 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4113763048080 in words is "four trillion, one hundred thirteen billion, seven hundred sixty-three million, forty-eight thousand, eighty".