1130510141424 has 240 divisors, whose sum is σ = 3208714629120. Its totient is φ = 371548362240.

The previous prime is 1130510141419. The next prime is 1130510141429. The reversal of 1130510141424 is 4241410150311.

It is a happy number.

1130510141424 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 510 + 1 + 4 + 142 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1130510141419) and next prime (1130510141429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130510141429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2698114687 + ... + 2698115105.

It is an arithmetic number, because the mean of its divisors is an integer number (13369644288).

Almost surely, 2^{1130510141424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130510141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604357314560).

1130510141424 is an abundant number, since it is smaller than the sum of its proper divisors (2078204487696).

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

1130510141424 is a wasteful number, since it uses less digits than its factorization.

1130510141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1130510141424 its reverse (4241410150311), we get a palindrome (5371920291735).

The spelling of 1130510141424 in words is "one trillion, one hundred thirty billion, five hundred ten million, one hundred forty-one thousand, four hundred twenty-four".