1421182016 has 56 divisors (see below), whose sum is σ = 2915116344. Its totient is φ = 686981120.

The previous prime is 1421182013. The next prime is 1421182019. The reversal of 1421182016 is 6102811241.

It is an interprime number because it is at equal distance from previous prime (1421182013) and next prime (1421182019).

It can be written as a sum of positive squares in 4 ways, for example, as 193600 + 1420988416 = 440^2 + 37696^2 .

It is not an unprimeable number, because it can be changed into a prime (1421182013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 294116 + ... + 298908.

It is an arithmetic number, because the mean of its divisors is an integer number (52055649).

Almost surely, 2^1421182016 is an apocalyptic number.

1421182016 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 1421182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457558172).

1421182016 is an abundant number, since it is smaller than the sum of its proper divisors (1493934328).

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

1421182016 is a wasteful number, since it uses less digits than its factorization.

1421182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1421182016 is about 37698.5678242556. The cubic root of 1421182016 is about 1124.3026502289.

Adding to 1421182016 its reverse (6102811241), we get a palindrome (7523993257).

The spelling of 1421182016 in words is "one billion, four hundred twenty-one million, one hundred eighty-two thousand, sixteen".