1131404040 has 288 divisors, whose sum is σ = 4148628120. Its totient is φ = 265807872.

The previous prime is 1131403991. The next prime is 1131404051. The reversal of 1131404040 is 404041311.

It can be written as a sum of positive squares in 4 ways, for example, as 913369284 + 218034756 = 30222^2 + 14766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2475492 + ... + 2475948.

Almost surely, 2^1131404040 is an apocalyptic number.

1131404040 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 1131404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074314060).

1131404040 is an abundant number, since it is smaller than the sum of its proper divisors (3017224080).

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

1131404040 is a wasteful number, since it uses less digits than its factorization.

1131404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1131404040 is about 33636.3499803412. The cubic root of 1131404040 is about 1042.0116512660.

Adding to 1131404040 its reverse (404041311), we get a palindrome (1535445351).

The spelling of 1131404040 in words is "one billion, one hundred thirty-one million, four hundred four thousand, forty".