1038261142170 has 192 divisors, whose sum is σ = 3255429864960. Its totient is φ = 224447883264.

The previous prime is 1038261142159. The next prime is 1038261142231. The reversal of 1038261142170 is 712411628301.

1038261142170 is a `hidden beast` number, since 1 + 0 + 38 + 2 + 611 + 4 + 2 + 1 + 7 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887062 + ... + 1692158.

It is an arithmetic number, because the mean of its divisors is an integer number (16955363880).

Almost surely, 2^{1038261142170} is an apocalyptic number.

1038261142170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038261142170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627714932480).

1038261142170 is an abundant number, since it is smaller than the sum of its proper divisors (2217168722790).

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

1038261142170 is a wasteful number, since it uses less digits than its factorization.

1038261142170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805229 (or 805226 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1038261142170 in words is "one trillion, thirty-eight billion, two hundred sixty-one million, one hundred forty-two thousand, one hundred seventy".