4113192960 has 672 divisors, whose sum is σ = 16113006000. Its totient is φ = 1003290624.

The previous prime is 4113192899. The next prime is 4113192977. The reversal of 4113192960 is 692913114.

It is a happy number.

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 55 ways as a sum of consecutive naturals, for example, 141834226 + ... + 141834254.

Almost surely, 2^4113192960 is an apocalyptic number.

4113192960 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 4113192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056503000).

4113192960 is an abundant number, since it is smaller than the sum of its proper divisors (11999813040).

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

4113192960 is an equidigital number, since it uses as much as digits as its factorization.

4113192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4113192960 is about 64134.1793429993. The cubic root of 4113192960 is about 1602.2355416828.

The spelling of 4113192960 in words is "four billion, one hundred thirteen million, one hundred ninety-two thousand, nine hundred sixty".