1125487440 has 640 divisors, whose sum is σ = 4953968640. Its totient is φ = 228096000.

The previous prime is 1125487403. The next prime is 1125487459. The reversal of 1125487440 is 447845211.

It is a happy number.

1125487440 is a `hidden beast` number, since 1 + 1 + 2 + 548 + 74 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125487395 and 1125487404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11143390 + ... + 11143490.

It is an arithmetic number, because the mean of its divisors is an integer number (7740576).

Almost surely, 2^1125487440 is an apocalyptic number.

1125487440 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 1125487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476984320).

1125487440 is an abundant number, since it is smaller than the sum of its proper divisors (3828481200).

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

1125487440 is a wasteful number, since it uses less digits than its factorization.

1125487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1125487440 is about 33548.2852020785. The cubic root of 1125487440 is about 1040.1920996233.

The spelling of 1125487440 in words is "one billion, one hundred twenty-five million, four hundred eighty-seven thousand, four hundred forty".