4159258240 has 64 divisors (see below), whose sum is σ = 9952392960. Its totient is φ = 1662170112.

The previous prime is 4159258231. The next prime is 4159258241. The reversal of 4159258240 is 428529514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4159258193 and 4159258202.

It is not an unprimeable number, because it can be changed into a prime (4159258241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908437 + ... + 913003.

It is an arithmetic number, because the mean of its divisors is an integer number (155506140).

Almost surely, 2^4159258240 is an apocalyptic number.

4159258240 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 4159258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976196480).

4159258240 is an abundant number, since it is smaller than the sum of its proper divisors (5793134720).

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

4159258240 is a wasteful number, since it uses less digits than its factorization.

4159258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 4159258240 is about 64492.3114797415. The cubic root of 4159258240 is about 1608.1947075761.

The spelling of 4159258240 in words is "four billion, one hundred fifty-nine million, two hundred fifty-eight thousand, two hundred forty".