4612071260160 has 3072 divisors, whose sum is σ = 21801323980800. Its totient is φ = 908121341952.

The previous prime is 4612071260143. The next prime is 4612071260273. The reversal of 4612071260160 is 610621702164.

4612071260160 is a `hidden beast` number, since 4 + 612 + 0 + 7 + 1 + 26 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68836884447 + ... + 68836884513.

It is an arithmetic number, because the mean of its divisors is an integer number (7096785150).

Almost surely, 2^{4612071260160} is an apocalyptic number.

4612071260160 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 4612071260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900661990400).

4612071260160 is an abundant number, since it is smaller than the sum of its proper divisors (17189252720640).

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

4612071260160 is an equidigital number, since it uses as much as digits as its factorization.

4612071260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 4612071260160 in words is "four trillion, six hundred twelve billion, seventy-one million, two hundred sixty thousand, one hundred sixty".