1042193906208 has 576 divisors, whose sum is σ = 3815322013440. Its totient is φ = 274337280000.

The previous prime is 1042193906197. The next prime is 1042193906231. The reversal of 1042193906208 is 8026093912401.

1042193906208 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 19 + 3 + 9 + 0 + 620 + 8 = 666.

1042193906208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347280708 + ... + 347283708.

It is an arithmetic number, because the mean of its divisors is an integer number (6623822940).

Almost surely, 2^{1042193906208} is an apocalyptic number.

1042193906208 is a gapful number since it is divisible by the number (18) 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 1042193906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907661006720).

1042193906208 is an abundant number, since it is smaller than the sum of its proper divisors (2773128107232).

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

1042193906208 is a wasteful number, since it uses less digits than its factorization.

1042193906208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1042193906208 in words is "one trillion, forty-two billion, one hundred ninety-three million, nine hundred six thousand, two hundred eight".