4160268288000 has 2160 divisors, whose sum is σ = 17626121106048. Its totient is φ = 935854080000.

The previous prime is 4160268287957. The next prime is 4160268288013. The reversal of 4160268288000 is 8828620614.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58595327965 + ... + 58595328035.

Almost surely, 2^{4160268288000} is an apocalyptic number.

4160268288000 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 4160268288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813060553024).

4160268288000 is an abundant number, since it is smaller than the sum of its proper divisors (13465852818048).

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

4160268288000 is a wasteful number, since it uses less digits than its factorization.

4160268288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4160268288000 in words is "four trillion, one hundred sixty billion, two hundred sixty-eight million, two hundred eighty-eight thousand".