1125511130040 has 256 divisors, whose sum is σ = 3769446481920. Its totient is φ = 266507543040.

The previous prime is 1125511130033. The next prime is 1125511130059. The reversal of 1125511130040 is 400311155211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31188087 + ... + 31224153.

It is an arithmetic number, because the mean of its divisors is an integer number (14724400320).

Almost surely, 2^{1125511130040} is an apocalyptic number.

1125511130040 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 1125511130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884723240960).

1125511130040 is an abundant number, since it is smaller than the sum of its proper divisors (2643935351880).

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

1125511130040 is a wasteful number, since it uses less digits than its factorization.

1125511130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36642 (or 36638 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 1125511130040 its reverse (400311155211), we get a palindrome (1525822285251).

The spelling of 1125511130040 in words is "one trillion, one hundred twenty-five billion, five hundred eleven million, one hundred thirty thousand, forty".