1042582131864 has 448 divisors, whose sum is σ = 3647984558400. Its totient is φ = 271864885248.

The previous prime is 1042582131853. The next prime is 1042582131881. The reversal of 1042582131864 is 4681312852401.

1042582131864 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 582 + 1 + 3 + 1 + 8 + 64 = 666.

It is a super-2 number, since 2×1042582131864² (a number of 25 digits) contains 22 as substring.

It is a congruent 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 111 ways as a sum of consecutive naturals, for example, 47222332 + ... + 47244404.

It is an arithmetic number, because the mean of its divisors is an integer number (8142822675).

Almost surely, 2^{1042582131864} is an apocalyptic number.

1042582131864 is a gapful number since it is divisible by the number (14) 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 1042582131864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823992279200).

1042582131864 is an abundant number, since it is smaller than the sum of its proper divisors (2605402426536).

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

1042582131864 is a wasteful number, since it uses less digits than its factorization.

1042582131864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22206 (or 22187 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1042582131864 in words is "one trillion, forty-two billion, five hundred eighty-two million, one hundred thirty-one thousand, eight hundred sixty-four".