4158922560 has 224 divisors, whose sum is σ = 14839614720. Its totient is φ = 979156992.

The previous prime is 4158922529. The next prime is 4158922591. The reversal of 4158922560 is 652298514.

It is an interprime number because it is at equal distance from previous prime (4158922529) and next prime (4158922591).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279796 + ... + 294284.

It is an arithmetic number, because the mean of its divisors is an integer number (66248280).

Almost surely, 2^4158922560 is an apocalyptic number.

4158922560 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 4158922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419807360).

4158922560 is an abundant number, since it is smaller than the sum of its proper divisors (10680692160).

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

4158922560 is a wasteful number, since it uses less digits than its factorization.

4158922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14545 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4158922560 is about 64489.7089464668. The cubic root of 4158922560 is about 1608.1514423837.

The spelling of 4158922560 in words is "four billion, one hundred fifty-eight million, nine hundred twenty-two thousand, five hundred sixty".