4158157086720 has 672 divisors, whose sum is σ = 17740530505152. Its totient is φ = 877318373376.

The previous prime is 4158157086667. The next prime is 4158157086737. The reversal of 4158157086720 is 276807518514.

4158157086720 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 1 + 570 + 8 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 33484264 + ... + 33608216.

It is an arithmetic number, because the mean of its divisors is an integer number (26399598966).

Almost surely, 2^{4158157086720} is an apocalyptic number.

4158157086720 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 4158157086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870265252576).

4158157086720 is an abundant number, since it is smaller than the sum of its proper divisors (13582373418432).

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

4158157086720 is a wasteful number, since it uses less digits than its factorization.

4158157086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124010 (or 123983 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 4158157086720 in words is "four trillion, one hundred fifty-eight billion, one hundred fifty-seven million, eighty-six thousand, seven hundred twenty".