11355008040 has 96 divisors (see below), whose sum is σ = 37318530600. Its totient is φ = 2993971200.

The previous prime is 11355007997. The next prime is 11355008047. The reversal of 11355008040 is 4080055311.

11355008040 is a `hidden beast` number, since 11 + 35 + 500 + 80 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3566239524 + 7788768516 = 59718^2 + 88254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11355007995 and 11355008013.

It is not an unprimeable number, because it can be changed into a prime (11355008047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145161 + ... + 209240.

Almost surely, 2^11355008040 is an apocalyptic number.

11355008040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11355008040 is an abundant number, since it is smaller than the sum of its proper divisors (25963522560).

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

11355008040 is a wasteful number, since it uses less digits than its factorization.

11355008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354507 (or 354500 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11355008040 in words is "eleven billion, three hundred fifty-five million, eight thousand, forty".