1125514414080 has 2016 divisors, whose sum is σ = 5014689727320. Its totient is φ = 240789749760.

The previous prime is 1125514414049. The next prime is 1125514414103. The reversal of 1125514414080 is 804144155211.

1125514414080 is a `hidden beast` number, since 1 + 1 + 25 + 514 + 4 + 1 + 40 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 706729411584 + 418785002496 = 840672^2 + 647136^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6218311590 + ... + 6218311770.

Almost surely, 2^{1125514414080} is an apocalyptic number.

1125514414080 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 1125514414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507344863660).

1125514414080 is an abundant number, since it is smaller than the sum of its proper divisors (3889175313240).

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

1125514414080 is an equidigital number, since it uses as much as digits as its factorization.

1125514414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 1125514414080 its reverse (804144155211), we get a palindrome (1929658569291).

The spelling of 1125514414080 in words is "one trillion, one hundred twenty-five billion, five hundred fourteen million, four hundred fourteen thousand, eighty".