1416121344 has 264 divisors, whose sum is σ = 4553674320. Its totient is φ = 420249600.

The previous prime is 1416121321. The next prime is 1416121361. The reversal of 1416121344 is 4431216141.

1416121344 is a `hidden beast` number, since 1 + 4 + 1 + 612 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6183822 + ... + 6184050.

Almost surely, 2^1416121344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276837160).

1416121344 is an abundant number, since it is smaller than the sum of its proper divisors (3137552976).

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

1416121344 is a wasteful number, since it uses less digits than its factorization.

1416121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1416121344 is about 37631.3877501216. The cubic root of 1416121344 is about 1122.9665572758.

Adding to 1416121344 its reverse (4431216141), we get a palindrome (5847337485).

It can be divided in two parts, 1416 and 121344, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1416121344 in words is "one billion, four hundred sixteen million, one hundred twenty-one thousand, three hundred forty-four".