4158359520 has 288 divisors, whose sum is σ = 15901982208. Its totient is φ = 909038592.

The previous prime is 4158359519. The next prime is 4158359531. The reversal of 4158359520 is 259538514.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 537117 + ... + 544803.

It is an arithmetic number, because the mean of its divisors is an integer number (55215216).

Almost surely, 2^4158359520 is an apocalyptic number.

4158359520 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 4158359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950991104).

4158359520 is an abundant number, since it is smaller than the sum of its proper divisors (11743622688).

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

4158359520 is a wasteful number, since it uses less digits than its factorization.

4158359520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 4158359520 is about 64485.3434510510. The cubic root of 4158359520 is about 1608.0788679418.

The spelling of 4158359520 in words is "four billion, one hundred fifty-eight million, three hundred fifty-nine thousand, five hundred twenty".