1145975040 has 360 divisors, whose sum is σ = 4689263040. Its totient is φ = 261771264.

The previous prime is 1145974967. The next prime is 1145975057. The reversal of 1145975040 is 405795411.

1145975040 is a `hidden beast` number, since 1 + 14 + 597 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 1145974986 and 1145975004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724971 + ... + 726549.

Almost surely, 2^1145975040 is an apocalyptic number.

1145975040 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 1145975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344631520).

1145975040 is an abundant number, since it is smaller than the sum of its proper divisors (3543288000).

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

1145975040 is an equidigital number, since it uses as much as digits as its factorization.

1145975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1145975040 is about 33852.2531007908. The cubic root of 1145975040 is about 1046.4658320673.

The spelling of 1145975040 in words is "one billion, one hundred forty-five million, nine hundred seventy-five thousand, forty".