1042245372168 has 768 divisors, whose sum is σ = 4151441548800. Its totient is φ = 227071918080.

The previous prime is 1042245372137. The next prime is 1042245372169. The reversal of 1042245372168 is 8612735422401.

1042245372168 is a `hidden beast` number, since 1 + 0 + 422 + 4 + 5 + 3 + 7 + 216 + 8 = 666.

It is a super-2 number, since 2×1042245372168² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042245372169) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 35516830 + ... + 35546162.

It is an arithmetic number, because the mean of its divisors is an integer number (5405522850).

Almost surely, 2^{1042245372168} is an apocalyptic number.

1042245372168 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 1042245372168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075720774400).

1042245372168 is an abundant number, since it is smaller than the sum of its proper divisors (3109196176632).

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

1042245372168 is a wasteful number, since it uses less digits than its factorization.

1042245372168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422 (or 29415 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1042245372168 in words is "one trillion, forty-two billion, two hundred forty-five million, three hundred seventy-two thousand, one hundred sixty-eight".