10141412411420 has 96 divisors (see below), whose sum is σ = 22704400776960. Its totient is φ = 3791844679680.

The previous prime is 10141412411413. The next prime is 10141412411461. The reversal of 10141412411420 is 2411421414101.

It is a self number, because there is not a number n which added to its sum of digits gives 10141412411420.

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, 29034776 + ... + 29381984.

It is an arithmetic number, because the mean of its divisors is an integer number (236504174760).

Almost surely, 2^{10141412411420} is an apocalyptic number.

10141412411420 is a gapful number since it is divisible by the number (10) 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 10141412411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352200388480).

10141412411420 is an abundant number, since it is smaller than the sum of its proper divisors (12562988365540).

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

10141412411420 is a wasteful number, since it uses less digits than its factorization.

10141412411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347823 (or 347821 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 10141412411420 its reverse (2411421414101), we get a palindrome (12552833825521).

The spelling of 10141412411420 in words is "ten trillion, one hundred forty-one billion, four hundred twelve million, four hundred eleven thousand, four hundred twenty".