1416442320 has 120 divisors (see below), whose sum is σ = 4774495752. Its totient is φ = 376320000.

The previous prime is 1416442283. The next prime is 1416442333. The reversal of 1416442320 is 232446141.

It is a happy number.

1416442320 is a `hidden beast` number, since 14 + 1 + 644 + 2 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 187799616 + 1228642704 = 13704^2 + 35052^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 198820 + ... + 205820.

Almost surely, 2^1416442320 is an apocalyptic number.

1416442320 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 1416442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387247876).

1416442320 is an abundant number, since it is smaller than the sum of its proper divisors (3358053432).

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

1416442320 is a wasteful number, since it uses less digits than its factorization.

1416442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1416442320 is about 37635.6522462412. The cubic root of 1416442320 is about 1123.0513941876.

Adding to 1416442320 its reverse (232446141), we get a palindrome (1648888461).

The spelling of 1416442320 in words is "one billion, four hundred sixteen million, four hundred forty-two thousand, three hundred twenty".