10442030969790 has 960 divisors, whose sum is σ = 35657944882560. Its totient is φ = 2139099217920.

The previous prime is 10442030969771. The next prime is 10442030969803. The reversal of 10442030969790 is 9796903024401.

10442030969790 is a `hidden beast` number, since 10 + 4 + 420 + 30 + 9 + 6 + 97 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7307228796 + ... + 7307230224.

It is an arithmetic number, because the mean of its divisors is an integer number (37143692586).

Almost surely, 2^{10442030969790} is an apocalyptic number.

10442030969790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442030969790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828972441280).

10442030969790 is an abundant number, since it is smaller than the sum of its proper divisors (25215913912770).

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

10442030969790 is a wasteful number, since it uses less digits than its factorization.

10442030969790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10442030969790 in words is "ten trillion, four hundred forty-two billion, thirty million, nine hundred sixty-nine thousand, seven hundred ninety".