4160011520 has 288 divisors, whose sum is σ = 12461008896. Its totient is φ = 1297612800.

The previous prime is 4160011477. The next prime is 4160011547. The reversal of 4160011520 is 251100614.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4160011492 and 4160011501.

It is a congruent number.

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, 4721480 + ... + 4722360.

It is an arithmetic number, because the mean of its divisors is an integer number (43267392).

Almost surely, 2^4160011520 is an apocalyptic number.

4160011520 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 4160011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230504448).

4160011520 is an abundant number, since it is smaller than the sum of its proper divisors (8300997376).

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

4160011520 is a wasteful number, since it uses less digits than its factorization.

4160011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 4160011520 is about 64498.1512913355. The cubic root of 4160011520 is about 1608.2917880099.

The spelling of 4160011520 in words is "four billion, one hundred sixty million, eleven thousand, five hundred twenty".