1418770000 has 100 divisors (see below), whose sum is σ = 3453360196. Its totient is φ = 564480000.

The previous prime is 1418769971. The next prime is 1418770013. The reversal of 1418770000 is 778141.

It can be written as a sum of positive squares in 10 ways, for example, as 1417974336 + 795664 = 37656^2 + 892^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3369790 + ... + 3370210.

Almost surely, 2^1418770000 is an apocalyptic number.

1418770000 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 1418770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726680098).

1418770000 is an abundant number, since it is smaller than the sum of its proper divisors (2034590196).

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

1418770000 is an equidigital number, since it uses as much as digits as its factorization.

1418770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 1418770000 is about 37666.5634216874. The cubic root of 1418770000 is about 1123.6662382925. Note that the first 3 decimals are identical.

The spelling of 1418770000 in words is "one billion, four hundred eighteen million, seven hundred seventy thousand".