1042134535520 has 384 divisors, whose sum is σ = 2822930611200. Its totient is φ = 360391237632.

The previous prime is 1042134535471. The next prime is 1042134535529. The reversal of 1042134535520 is 255354312401.

It is a super-2 number, since 2×1042134535520² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042134535529) 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 63 ways as a sum of consecutive naturals, for example, 1775356667 + ... + 1775357253.

It is an arithmetic number, because the mean of its divisors is an integer number (7351381800).

Almost surely, 2^{1042134535520} is an apocalyptic number.

1042134535520 is a gapful number since it is divisible by the number (10) 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 1042134535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411465305600).

1042134535520 is an abundant number, since it is smaller than the sum of its proper divisors (1780796075680).

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

1042134535520 is a wasteful number, since it uses less digits than its factorization.

1042134535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 1042134535520 its reverse (255354312401), we get a palindrome (1297488847921).

The spelling of 1042134535520 in words is "one trillion, forty-two billion, one hundred thirty-four million, five hundred thirty-five thousand, five hundred twenty".