1024141132014 has 128 divisors (see below), whose sum is σ = 2759863615488. Its totient is φ = 244680255360.

The previous prime is 1024141131971. The next prime is 1024141132057. The reversal of 1024141132014 is 4102311414201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1024141131971) and next prime (1024141132057).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1398427 + ... + 2000969.

It is an arithmetic number, because the mean of its divisors is an integer number (21561434496).

Almost surely, 2^{1024141132014} is an apocalyptic number.

1024141132014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024141132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379931807744).

1024141132014 is an abundant number, since it is smaller than the sum of its proper divisors (1735722483474).

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

1024141132014 is a wasteful number, since it uses less digits than its factorization.

1024141132014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602862.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1024141132014 its reverse (4102311414201), we get a palindrome (5126452546215).

The spelling of 1024141132014 in words is "one trillion, twenty-four billion, one hundred forty-one million, one hundred thirty-two thousand, fourteen".