4119513120 has 384 divisors, whose sum is σ = 15676416000. Its totient is φ = 1006525440.

The previous prime is 4119513113. The next prime is 4119513127. The reversal of 4119513120 is 213159114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4119513113) and next prime (4119513127).

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

It is not an unprimeable number, because it can be changed into a prime (4119513127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2543671 + ... + 2545289.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^4119513120 is an apocalyptic number.

4119513120 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 4119513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208000).

4119513120 is an abundant number, since it is smaller than the sum of its proper divisors (11556902880).

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

4119513120 is a wasteful number, since it uses less digits than its factorization.

4119513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 4119513120 is about 64183.4333765342. The cubic root of 4119513120 is about 1603.0557643913.

The spelling of 4119513120 in words is "four billion, one hundred nineteen million, five hundred thirteen thousand, one hundred twenty".