4160358720 has 672 divisors, whose sum is σ = 17679375360. Its totient is φ = 917360640.

The previous prime is 4160358701. The next prime is 4160358739. The reversal of 4160358720 is 278530614.

4160358720 is a `hidden beast` number, since 41 + 603 + 5 + 8 + 7 + 2 + 0 = 666.

4160358720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4160358701) and next prime (4160358739).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13124002 + ... + 13124318.

Almost surely, 2^4160358720 is an apocalyptic number.

4160358720 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 4160358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839687680).

4160358720 is an abundant number, since it is smaller than the sum of its proper divisors (13519016640).

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

4160358720 is a wasteful number, since it uses less digits than its factorization.

4160358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4160358720 is about 64500.8427851916. The cubic root of 4160358720 is about 1608.3365301436.

The spelling of 4160358720 in words is "four billion, one hundred sixty million, three hundred fifty-eight thousand, seven hundred twenty".