1424332450116 has 243 divisors, whose sum is σ = 3838166163741. Its totient is φ = 462468198816.

The previous prime is 1424332450111. The next prime is 1424332450129. The reversal of 1424332450116 is 6110542334241.

The square root of 1424332450116 is 1193454.

It is a perfect power (a square), and thus also a powerful number.

1424332450116 is a `hidden beast` number, since 1 + 42 + 433 + 24 + 50 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1026797156100 + 397535294016 = 1013310^2 + 630504^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1424332450111) 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 80 ways as a sum of consecutive naturals, for example, 10246995975 + ... + 10246996113.

Almost surely, 2^{1424332450116} is an apocalyptic number.

1424332450116 is the 1193454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424332450116

1424332450116 is an abundant number, since it is smaller than the sum of its proper divisors (2413833713625).

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

1424332450116 is an frugal number, since it uses more digits than its factorization.

1424332450116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 1424332450116 by its sum of digits (36), we get a square (51275968204176 = 7160724²).

1424332450116 divided by its sum of digits (36) gives a square (39564790281 = 198909²).

Adding to 1424332450116 its reverse (6110542334241), we get a palindrome (7534874784357).

The spelling of 1424332450116 in words is "one trillion, four hundred twenty-four billion, three hundred thirty-two million, four hundred fifty thousand, one hundred sixteen".