10019833129740 has 192 divisors, whose sum is σ = 33101451952128. Its totient is φ = 2216122156800.

The previous prime is 10019833129739. The next prime is 10019833129741. The reversal of 10019833129740 is 4792133891001.

It is an interprime number because it is at equal distance from previous prime (10019833129739) and next prime (10019833129741).

It is a self number, because there is not a number n which added to its sum of digits gives 10019833129740.

It is not an unprimeable number, because it can be changed into a prime (10019833129741) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132909537 + ... + 132984903.

It is an arithmetic number, because the mean of its divisors is an integer number (172403395584).

Almost surely, 2^{10019833129740} is an apocalyptic number.

10019833129740 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 10019833129740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16550725976064).

10019833129740 is an abundant number, since it is smaller than the sum of its proper divisors (23081618822388).

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

10019833129740 is a wasteful number, since it uses less digits than its factorization.

10019833129740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85628 (or 85626 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10019833129740 in words is "ten trillion, nineteen billion, eight hundred thirty-three million, one hundred twenty-nine thousand, seven hundred forty".