1125581406840 has 768 divisors, whose sum is σ = 4277289369600. Its totient is φ = 254016000000.

The previous prime is 1125581406823. The next prime is 1125581406889. The reversal of 1125581406840 is 486041855211.

1125581406840 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 581 + 4 + 0 + 68 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1498776465 + ... + 1498777215.

It is an arithmetic number, because the mean of its divisors is an integer number (5569387200).

Almost surely, 2^{1125581406840} is an apocalyptic number.

1125581406840 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 1125581406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138644684800).

1125581406840 is an abundant number, since it is smaller than the sum of its proper divisors (3151707962760).

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

1125581406840 is a wasteful number, since it uses less digits than its factorization.

1125581406840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1125581406840 in words is "one trillion, one hundred twenty-five billion, five hundred eighty-one million, four hundred six thousand, eight hundred forty".