1418988480 has 448 divisors, whose sum is σ = 5707806720. Its totient is φ = 290635776.

The previous prime is 1418988437. The next prime is 1418988503. The reversal of 1418988480 is 848898141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3232101 + ... + 3232539.

It is an arithmetic number, because the mean of its divisors is an integer number (12740640).

Almost surely, 2^1418988480 is an apocalyptic number.

1418988480 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 1418988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853903360).

1418988480 is an abundant number, since it is smaller than the sum of its proper divisors (4288818240).

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

1418988480 is a wasteful number, since it uses less digits than its factorization.

1418988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The square root of 1418988480 is about 37669.4634949849. The cubic root of 1418988480 is about 1123.7239140725.

The spelling of 1418988480 in words is "one billion, four hundred eighteen million, nine hundred eighty-eight thousand, four hundred eighty".