1042162075136 has 320 divisors, whose sum is σ = 2653030195200. Its totient is φ = 397848084480.

The previous prime is 1042162075069. The next prime is 1042162075151. The reversal of 1042162075136 is 6315702612401.

It is a super-2 number, since 2×1042162075136² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1042162075136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648513245 + ... + 648514851.

It is an arithmetic number, because the mean of its divisors is an integer number (8290719360).

Almost surely, 2^{1042162075136} is an apocalyptic number.

1042162075136 is a gapful number since it is divisible by the number (16) 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 1042162075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326515097600).

1042162075136 is an abundant number, since it is smaller than the sum of its proper divisors (1610868120064).

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

1042162075136 is a wasteful number, since it uses less digits than its factorization.

1042162075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

Adding to 1042162075136 its reverse (6315702612401), we get a palindrome (7357864687537).

The spelling of 1042162075136 in words is "one trillion, forty-two billion, one hundred sixty-two million, seventy-five thousand, one hundred thirty-six".