10141333031040 has 128 divisors (see below), whose sum is σ = 33199161405120. Its totient is φ = 2631264768000.

The previous prime is 10141333031033. The next prime is 10141333031129. The reversal of 10141333031040 is 4013033314101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10141333031040.

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 15 ways as a sum of consecutive naturals, for example, 71306586 + ... + 71448665.

Almost surely, 2^{10141333031040} is an apocalyptic number.

10141333031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141333031040 is an abundant number, since it is smaller than the sum of its proper divisors (23057828374080).

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

10141333031040 is a wasteful number, since it uses less digits than its factorization.

10141333031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142755310 (or 142755298 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10141333031040 its reverse (4013033314101), we get a palindrome (14154366345141).

The spelling of 10141333031040 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-three million, thirty-one thousand, forty".