1042193330640 has 960 divisors, whose sum is σ = 4602931107840. Its totient is φ = 204733992960.

The previous prime is 1042193330623. The next prime is 1042193330641. The reversal of 1042193330640 is 460333912401.

1042193330640 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 9 + 3 + 3 + 3 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042193330595 and 1042193330604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042193330641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 797392867 + ... + 797394173.

It is an arithmetic number, because the mean of its divisors is an integer number (4794719904).

Almost surely, 2^{1042193330640} is an apocalyptic number.

1042193330640 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 1042193330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301465553920).

1042193330640 is an abundant number, since it is smaller than the sum of its proper divisors (3560737777200).

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

1042193330640 is a wasteful number, since it uses less digits than its factorization.

1042193330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1042193330640 in words is "one trillion, forty-two billion, one hundred ninety-three million, three hundred thirty thousand, six hundred forty".