1130431533504 has 336 divisors, whose sum is σ = 3749639846400. Its totient is φ = 297916545024.

The previous prime is 1130431533487. The next prime is 1130431533541. The reversal of 1130431533504 is 4053351340311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1130431533504³ (a number of 37 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229806757 + ... + 229811675.

It is an arithmetic number, because the mean of its divisors is an integer number (11159642400).

Almost surely, 2^{1130431533504} is an apocalyptic number.

1130431533504 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 1130431533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874819923200).

1130431533504 is an abundant number, since it is smaller than the sum of its proper divisors (2619208312896).

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

1130431533504 is a wasteful number, since it uses less digits than its factorization.

1130431533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 1130431533504 its reverse (4053351340311), we get a palindrome (5183782873815).

The spelling of 1130431533504 in words is "one trillion, one hundred thirty billion, four hundred thirty-one million, five hundred thirty-three thousand, five hundred four".