1191503040 has 448 divisors, whose sum is σ = 4866656256. Its totient is φ = 240058368.

The previous prime is 1191503029. The next prime is 1191503041. The reversal of 1191503040 is 403051911.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1191503040.

It is not an unprimeable number, because it can be changed into a prime (1191503041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008984 + ... + 2009576.

It is an arithmetic number, because the mean of its divisors is an integer number (10863072).

Almost surely, 2^1191503040 is an apocalyptic number.

1191503040 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 1191503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433328128).

1191503040 is an abundant number, since it is smaller than the sum of its proper divisors (3675153216).

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

1191503040 is a wasteful number, since it uses less digits than its factorization.

1191503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1191503040 is about 34518.1552230127. The cubic root of 1191503040 is about 1060.1444682648.

Adding to 1191503040 its reverse (403051911), we get a palindrome (1594554951).

The spelling of 1191503040 in words is "one billion, one hundred ninety-one million, five hundred three thousand, forty".