4158446841360 has 640 divisors, whose sum is σ = 17360831692800. Its totient is φ = 893137674240.

The previous prime is 4158446841337. The next prime is 4158446841361. The reversal of 4158446841360 is 631486448514.

4158446841360 is a `hidden beast` number, since 4 + 1 + 5 + 84 + 468 + 41 + 3 + 60 = 666.

4158446841360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4158446841360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4158446841297 and 4158446841306.

It is not an unprimeable number, because it can be changed into a prime (4158446841361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162179421 + ... + 162205059.

It is an arithmetic number, because the mean of its divisors is an integer number (27126299520).

Almost surely, 2^{4158446841360} is an apocalyptic number.

4158446841360 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 4158446841360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680415846400).

4158446841360 is an abundant number, since it is smaller than the sum of its proper divisors (13202384851440).

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

4158446841360 is a wasteful number, since it uses less digits than its factorization.

4158446841360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26316 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4158446841360 in words is "four trillion, one hundred fifty-eight billion, four hundred forty-six million, eight hundred forty-one thousand, three hundred sixty".