1020218416 has 120 divisors (see below), whose sum is σ = 2495371536. Its totient is φ = 401264640.

The previous prime is 1020218411. The next prime is 1020218449. The reversal of 1020218416 is 6148120201.

1020218416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1020218411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545515 + ... + 547381.

Almost surely, 2^1020218416 is an apocalyptic number.

1020218416 is a gapful number since it is divisible by the number (16) 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 1020218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247685768).

1020218416 is an abundant number, since it is smaller than the sum of its proper divisors (1475153120).

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

1020218416 is a wasteful number, since it uses less digits than its factorization.

1020218416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1020218416 is about 31940.8580974275. The cubic root of 1020218416 is about 1006.6945549243.

Adding to 1020218416 its reverse (6148120201), we get a palindrome (7168338617).

The spelling of 1020218416 in words is "one billion, twenty million, two hundred eighteen thousand, four hundred sixteen".