1418287360 has 108 divisors (see below), whose sum is σ = 3952067868. Its totient is φ = 486248448.

The previous prime is 1418287333. The next prime is 1418287363. The reversal of 1418287360 is 637828141.

1418287360 = 85² + 86² + ... + 1620².

It can be written as a sum of positive squares in 2 ways, for example, as 563777536 + 854509824 = 23744^2 + 29232^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1418287363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51414 + ... + 74026.

It is an arithmetic number, because the mean of its divisors is an integer number (36593221).

Almost surely, 2^1418287360 is an apocalyptic number.

1418287360 is a gapful number since it is divisible by the number (10) 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 1418287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976033934).

1418287360 is an abundant number, since it is smaller than the sum of its proper divisors (2533780508).

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

1418287360 is an equidigital number, since it uses as much as digits as its factorization.

1418287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22648 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1418287360 is about 37660.1561335053. The cubic root of 1418287360 is about 1123.5388068362.

The spelling of 1418287360 in words is "one billion, four hundred eighteen million, two hundred eighty-seven thousand, three hundred sixty".