1188311040 has 416 divisors, whose sum is σ = 4843829760. Its totient is φ = 270729216.

The previous prime is 1188310993. The next prime is 1188311071. The reversal of 1188311040 is 401138811.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 1188310995 and 1188311013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870567 + ... + 3870873.

Almost surely, 2^1188311040 is an apocalyptic number.

1188311040 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 1188311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421914880).

1188311040 is an abundant number, since it is smaller than the sum of its proper divisors (3655518720).

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

1188311040 is an equidigital number, since it uses as much as digits as its factorization.

1188311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1188311040 is about 34471.8876767722. The cubic root of 1188311040 is about 1059.1969234705.

Adding to 1188311040 its reverse (401138811), we get a palindrome (1589449851).

The spelling of 1188311040 in words is "one billion, one hundred eighty-eight million, three hundred eleven thousand, forty".