4158088796160 has 288 divisors, whose sum is σ = 15519746052720. Its totient is φ = 1023529254912.

The previous prime is 4158088796153. The next prime is 4158088796167. The reversal of 4158088796160 is 616978808514.

4158088796160 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 0 + 8 + 8 + 7 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4158088796153) and next prime (4158088796167).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158088796167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537234 + ... + 2933393.

Almost surely, 2^{4158088796160} is an apocalyptic number.

4158088796160 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 4158088796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759873026360).

4158088796160 is an abundant number, since it is smaller than the sum of its proper divisors (11361657256560).

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

4158088796160 is a wasteful number, since it uses less digits than its factorization.

4158088796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470673 (or 3470650 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 4158088796160 in words is "four trillion, one hundred fifty-eight billion, eighty-eight million, seven hundred ninety-six thousand, one hundred sixty".