1314442420032 has 224 divisors, whose sum is σ = 4013239014400. Its totient is φ = 371919900672.

The previous prime is 1314442419989. The next prime is 1314442420033. The reversal of 1314442420032 is 2300242444131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314442420033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76399143 + ... + 76416345.

It is an arithmetic number, because the mean of its divisors is an integer number (17916245600).

Almost surely, 2^{1314442420032} is an apocalyptic number.

1314442420032 is a gapful number since it is divisible by the number (12) 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 1314442420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006619507200).

1314442420032 is an abundant number, since it is smaller than the sum of its proper divisors (2698796594368).

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

1314442420032 is a wasteful number, since it uses less digits than its factorization.

1314442420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17773 (or 17763 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1314442420032 its reverse (2300242444131), we get a palindrome (3614684864163).

The spelling of 1314442420032 in words is "one trillion, three hundred fourteen billion, four hundred forty-two million, four hundred twenty thousand, thirty-two".