1002114416 has 80 divisors (see below), whose sum is σ = 2144029440. Its totient is φ = 451630080.

The previous prime is 1002114413. The next prime is 1002114431. The reversal of 1002114416 is 6144112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002114413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314136 + ... + 2314568.

It is an arithmetic number, because the mean of its divisors is an integer number (26800368).

Almost surely, 2^1002114416 is an apocalyptic number.

1002114416 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 1002114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072014720).

1002114416 is an abundant number, since it is smaller than the sum of its proper divisors (1141915024).

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

1002114416 is a wasteful number, since it uses less digits than its factorization.

1002114416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1002114416 is about 31656.1908005369. The cubic root of 1002114416 is about 1000.7043091655.

Adding to 1002114416 its reverse (6144112001), we get a palindrome (7146226417).

The spelling of 1002114416 in words is "one billion, two million, one hundred fourteen thousand, four hundred sixteen".