4116412149120 has 384 divisors, whose sum is σ = 14572502380800. Its totient is φ = 1070103920640.

The previous prime is 4116412149089. The next prime is 4116412149151. The reversal of 4116412149120 is 219412146114.

4116412149120 is a `hidden beast` number, since 4 + 1 + 1 + 641 + 2 + 1 + 4 + 9 + 1 + 2 + 0 = 666.

4116412149120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4116412149089) and next prime (4116412149151).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 339828184 + ... + 339840296.

It is an arithmetic number, because the mean of its divisors is an integer number (37949224950).

Almost surely, 2^{4116412149120} is an apocalyptic number.

4116412149120 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 4116412149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286251190400).

4116412149120 is an abundant number, since it is smaller than the sum of its proper divisors (10456090231680).

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

4116412149120 is a wasteful number, since it uses less digits than its factorization.

4116412149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 4116412149120 in words is "four trillion, one hundred sixteen billion, four hundred twelve million, one hundred forty-nine thousand, one hundred twenty".