1416513840 has 320 divisors, whose sum is σ = 5332992000. Its totient is φ = 303823872.

The previous prime is 1416513803. The next prime is 1416513841. The reversal of 1416513840 is 483156141.

It is a super-2 number, since 2×1416513840² = 4013022917823091200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1416513841) by changing a digit.

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, 6351969 + ... + 6352191.

It is an arithmetic number, because the mean of its divisors is an integer number (16665600).

Almost surely, 2^1416513840 is an apocalyptic number.

1416513840 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 1416513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666496000).

1416513840 is an abundant number, since it is smaller than the sum of its proper divisors (3916478160).

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

1416513840 is a wasteful number, since it uses less digits than its factorization.

1416513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1416513840 is about 37636.6023971346. The cubic root of 1416513840 is about 1123.0702958359.

Adding to 1416513840 its reverse (483156141), we get a palindrome (1899669981).

The spelling of 1416513840 in words is "one billion, four hundred sixteen million, five hundred thirteen thousand, eight hundred forty".