1185125040 has 320 divisors, whose sum is σ = 4599705600. Its totient is φ = 277862400.

The previous prime is 1185125033. The next prime is 1185125083. The reversal of 1185125040 is 405215811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1185124995 and 1185125013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735756 + ... + 737364.

It is an arithmetic number, because the mean of its divisors is an integer number (14374080).

Almost surely, 2^1185125040 is an apocalyptic number.

1185125040 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 1185125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299852800).

1185125040 is an abundant number, since it is smaller than the sum of its proper divisors (3414580560).

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

1185125040 is a wasteful number, since it uses less digits than its factorization.

1185125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1185125040 is about 34425.6450919950. The cubic root of 1185125040 is about 1058.2494662016.

The spelling of 1185125040 in words is "one billion, one hundred eighty-five million, one hundred twenty-five thousand, forty".