4130735616 has 640 divisors, whose sum is σ = 15461867520. Its totient is φ = 1074954240.

The previous prime is 4130735573. The next prime is 4130735621. The reversal of 4130735616 is 6165370314.

4130735616 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 35 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133249521 + ... + 133249551.

It is an arithmetic number, because the mean of its divisors is an integer number (24159168).

Almost surely, 2^4130735616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730933760).

4130735616 is an abundant number, since it is smaller than the sum of its proper divisors (11331131904).

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

4130735616 is an frugal number, since it uses more digits than its factorization.

4130735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4130735616 is about 64270.7990925895. The cubic root of 4130735616 is about 1604.5101413616.

The spelling of 4130735616 in words is "four billion, one hundred thirty million, seven hundred thirty-five thousand, six hundred sixteen".