1416501120 has 128 divisors (see below), whose sum is σ = 4579130880. Its totient is φ = 372377600.

The previous prime is 1416501109. The next prime is 1416501139. The reversal of 1416501120 is 211056141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1416501120² = 4012950845922508800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131125 + ... + 141515.

It is an arithmetic number, because the mean of its divisors is an integer number (35774460).

Almost surely, 2^1416501120 is an apocalyptic number.

1416501120 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 1416501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289565440).

1416501120 is an abundant number, since it is smaller than the sum of its proper divisors (3162629760).

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

1416501120 is a wasteful number, since it uses less digits than its factorization.

1416501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1416501120 is about 37636.4334123200. The cubic root of 1416501120 is about 1123.0669341799.

Adding to 1416501120 its reverse (211056141), we get a palindrome (1627557261).

The spelling of 1416501120 in words is "one billion, four hundred sixteen million, five hundred one thousand, one hundred twenty".