10033400742912 has 528 divisors, whose sum is σ = 30030492211200. Its totient is φ = 3225021972480.

The previous prime is 10033400742899. The next prime is 10033400742977. The reversal of 10033400742912 is 21924700433001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6354274539 + ... + 6354276117.

Almost surely, 2^{10033400742912} is an apocalyptic number.

10033400742912 is a gapful number since it is divisible by the number (12) 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 10033400742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015246105600).

10033400742912 is an abundant number, since it is smaller than the sum of its proper divisors (19997091468288).

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

10033400742912 is a wasteful number, since it uses less digits than its factorization.

10033400742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10033400742912 in words is "ten trillion, thirty-three billion, four hundred million, seven hundred forty-two thousand, nine hundred twelve".