4160658240 has 168 divisors, whose sum is σ = 14492874240. Its totient is φ = 1095404544.

The previous prime is 4160658223. The next prime is 4160658263. The reversal of 4160658240 is 428560614.

4160658240 is a `hidden beast` number, since 4 + 1 + 606 + 5 + 8 + 2 + 40 = 666.

It is a super-2 number, since 2×4160658240² = 34622153980159795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4160658195 and 4160658204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218377 + ... + 236663.

Almost surely, 2^4160658240 is an apocalyptic number.

4160658240 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 4160658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246437120).

4160658240 is an abundant number, since it is smaller than the sum of its proper divisors (10332216000).

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

4160658240 is a wasteful number, since it uses less digits than its factorization.

4160658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18389 (or 18376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4160658240 is about 64503.1645735308. The cubic root of 4160658240 is about 1608.3751259659.

The spelling of 4160658240 in words is "four billion, one hundred sixty million, six hundred fifty-eight thousand, two hundred forty".