1216018440 has 256 divisors, whose sum is σ = 4989196800. Its totient is φ = 256545792.

The previous prime is 1216018429. The next prime is 1216018477. The reversal of 1216018440 is 448106121.

It is a happy number.

1216018440 is a `hidden beast` number, since 1 + 216 + 0 + 1 + 8 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92094 + ... + 104466.

It is an arithmetic number, because the mean of its divisors is an integer number (19489050).

Almost surely, 2^1216018440 is an apocalyptic number.

1216018440 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 1216018440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494598400).

1216018440 is an abundant number, since it is smaller than the sum of its proper divisors (3773178360).

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

1216018440 is a wasteful number, since it uses less digits than its factorization.

1216018440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12413 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1216018440 is about 34871.4559489563. The cubic root of 1216018440 is about 1067.3660547824.

The spelling of 1216018440 in words is "one billion, two hundred sixteen million, eighteen thousand, four hundred forty".