4130779968 has 252 divisors, whose sum is σ = 14500006560. Its totient is φ = 1117960704.

The previous prime is 4130779963. The next prime is 4130779979. The reversal of 4130779968 is 8699770314.

It is a happy number.

4130779968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130779963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532405 + ... + 540107.

Almost surely, 2^4130779968 is an apocalyptic number.

4130779968 is a gapful number since it is divisible by the number (48) 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 4130779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250003280).

4130779968 is an abundant number, since it is smaller than the sum of its proper divisors (10369226592).

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

4130779968 is a wasteful number, since it uses less digits than its factorization.

4130779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4130779968 is about 64271.1441317175. The cubic root of 4130779968 is about 1604.5158839206.

The spelling of 4130779968 in words is "four billion, one hundred thirty million, seven hundred seventy-nine thousand, nine hundred sixty-eight".