4116219120 has 400 divisors, whose sum is σ = 15555066912. Its totient is φ = 1002792960.

The previous prime is 4116219119. The next prime is 4116219137. The reversal of 4116219120 is 219126114.

4116219120 is a `hidden beast` number, since 4 + 11 + 621 + 9 + 1 + 20 = 666.

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, 11035254 + ... + 11035626.

Almost surely, 2^4116219120 is an apocalyptic number.

4116219120 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 4116219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777533456).

4116219120 is an abundant number, since it is smaller than the sum of its proper divisors (11438847792).

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

4116219120 is a wasteful number, since it uses less digits than its factorization.

4116219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4116219120 is about 64157.7674175154. The cubic root of 4116219120 is about 1602.6283778211.

The spelling of 4116219120 in words is "four billion, one hundred sixteen million, two hundred nineteen thousand, one hundred twenty".