4130118720 has 1120 divisors, whose sum is σ = 19331440128. Its totient is φ = 812187648.

The previous prime is 4130118719. The next prime is 4130118779. The reversal of 4130118720 is 278110314.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40098189 + ... + 40098291.

Almost surely, 2^4130118720 is an apocalyptic number.

4130118720 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 4130118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9665720064).

4130118720 is an abundant number, since it is smaller than the sum of its proper divisors (15201321408).

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

4130118720 is a wasteful number, since it uses less digits than its factorization.

4130118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4130118720 is about 64265.9997199141. Note that the first 3 decimals coincide. The cubic root of 4130118720 is about 1604.4302633239.

The spelling of 4130118720 in words is "four billion, one hundred thirty million, one hundred eighteen thousand, seven hundred twenty".