1000141415936 has 240 divisors, whose sum is σ = 2206250576640. Its totient is φ = 452639416320.

The previous prime is 1000141415887. The next prime is 1000141415953. The reversal of 1000141415936 is 6395141410001.

It is a junction number, because it is equal to n+sod(n) for n = 1000141415896 and 1000141415905.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1615737035 + ... + 1615737653.

It is an arithmetic number, because the mean of its divisors is an integer number (9192710736).

Almost surely, 2^{1000141415936} is an apocalyptic number.

1000141415936 is a gapful number since it is divisible by the number (16) 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 1000141415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103125288320).

1000141415936 is an abundant number, since it is smaller than the sum of its proper divisors (1206109160704).

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

1000141415936 is an equidigital number, since it uses as much as digits as its factorization.

1000141415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

Adding to 1000141415936 its reverse (6395141410001), we get a palindrome (7395282825937).

The spelling of 1000141415936 in words is "one trillion, one hundred forty-one million, four hundred fifteen thousand, nine hundred thirty-six".