10141332410000 has 400 divisors, whose sum is σ = 27819670855680. Its totient is φ = 3548013120000.

The previous prime is 10141332409997. The next prime is 10141332410089. The reversal of 10141332410000 is 1423314101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 305013377 + ... + 305046623.

Almost surely, 2^{10141332410000} is an apocalyptic number.

10141332410000 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 10141332410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13909835427840).

10141332410000 is an abundant number, since it is smaller than the sum of its proper divisors (17678338445680).

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

10141332410000 is a wasteful number, since it uses less digits than its factorization.

10141332410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33392 (or 33371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10141332410000 its reverse (1423314101), we get a palindrome (10142755724101).

The spelling of 10141332410000 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-two million, four hundred ten thousand".