1042381861248 has 512 divisors, whose sum is σ = 3545397273600. Its totient is φ = 263921172480.

The previous prime is 1042381861229. The next prime is 1042381861303. The reversal of 1042381861248 is 8421681832401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1042381861197 and 1042381861206.

It is a congruent number.

It is an unprimeable number.

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, 183418215 + ... + 183423897.

It is an arithmetic number, because the mean of its divisors is an integer number (6924604050).

Almost surely, 2^{1042381861248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042381861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772698636800).

1042381861248 is an abundant number, since it is smaller than the sum of its proper divisors (2503015412352).

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

1042381861248 is a wasteful number, since it uses less digits than its factorization.

1042381861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 1042381861248 in words is "one trillion, forty-two billion, three hundred eighty-one million, eight hundred sixty-one thousand, two hundred forty-eight".