1414065632224 has 192 divisors, whose sum is σ = 3331356844032. Its totient is φ = 578308608000.

The previous prime is 1414065632197. The next prime is 1414065632233. The reversal of 1414065632224 is 4222365604141.

It is a super-2 number, since 2×1414065632224² (a number of 25 digits) 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76980289 + ... + 76998655.

It is an arithmetic number, because the mean of its divisors is an integer number (17350816896).

Almost surely, 2^{1414065632224} is an apocalyptic number.

1414065632224 is a gapful number since it is divisible by the number (14) 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 1414065632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665678422016).

1414065632224 is an abundant number, since it is smaller than the sum of its proper divisors (1917291211808).

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

1414065632224 is a wasteful number, since it uses less digits than its factorization.

1414065632224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18609 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 1414065632224 in words is "one trillion, four hundred fourteen billion, sixty-five million, six hundred thirty-two thousand, two hundred twenty-four".