4158417840 has 160 divisors (see below), whose sum is σ = 13044182976. Its totient is φ = 1095843840.

The previous prime is 4158417833. The next prime is 4158417853. The reversal of 4158417840 is 487148514.

It is a junction number, because it is equal to n+sod(n) for n = 4158417792 and 4158417801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13285524 + ... + 13285836.

Almost surely, 2^4158417840 is an apocalyptic number.

4158417840 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 4158417840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522091488).

4158417840 is an abundant number, since it is smaller than the sum of its proper divisors (8885765136).

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

4158417840 is a wasteful number, since it uses less digits than its factorization.

4158417840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 4158417840 is about 64485.7956452427. The cubic root of 4158417840 is about 1608.0863855474.

The spelling of 4158417840 in words is "four billion, one hundred fifty-eight million, four hundred seventeen thousand, eight hundred forty".