4160362440 has 128 divisors (see below), whose sum is σ = 13874918400. Its totient is φ = 991042560.

The previous prime is 4160362411. The next prime is 4160362441. The reversal of 4160362440 is 442630614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4160362398 and 4160362407.

It is not an unprimeable number, because it can be changed into a prime (4160362441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5346 + ... + 91374.

It is an arithmetic number, because the mean of its divisors is an integer number (108397800).

Almost surely, 2^4160362440 is an apocalyptic number.

4160362440 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 4160362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937459200).

4160362440 is an abundant number, since it is smaller than the sum of its proper divisors (9714555960).

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

4160362440 is a wasteful number, since it uses less digits than its factorization.

4160362440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86087 (or 86083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4160362440 is about 64500.8716220176. The cubic root of 4160362440 is about 1608.3370095101.

The spelling of 4160362440 in words is "four billion, one hundred sixty million, three hundred sixty-two thousand, four hundred forty".