4141912320 has 720 divisors, whose sum is σ = 18282190080. Its totient is φ = 871907328.

The previous prime is 4141912309. The next prime is 4141912331. The reversal of 4141912320 is 232191414.

It is a happy number.

4141912320 is a `hidden beast` number, since 414 + 19 + 1 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4141912309) and next prime (4141912331).

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434661 + ... + 9435099.

Almost surely, 2^4141912320 is an apocalyptic number.

4141912320 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 4141912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141095040).

4141912320 is an abundant number, since it is smaller than the sum of its proper divisors (14140277760).

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

4141912320 is a wasteful number, since it uses less digits than its factorization.

4141912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4141912320 is about 64357.6904495492. The cubic root of 4141912320 is about 1605.9559681832.

The spelling of 4141912320 in words is "four billion, one hundred forty-one million, nine hundred twelve thousand, three hundred twenty".