11233661040 has 160 divisors (see below), whose sum is σ = 44221455360. Its totient is φ = 2567690496.

The previous prime is 11233661027. The next prime is 11233661059. The reversal of 11233661040 is 4016633211.

11233661040 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 6 + 610 + 40 = 666.

It is a super-2 number, since 2×11233661040² (a number of 21 digits) contains 22 as substring.

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 = 11233660995 and 11233661013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356364 + ... + 386603.

It is an arithmetic number, because the mean of its divisors is an integer number (276384096).

Almost surely, 2^11233661040 is an apocalyptic number.

11233661040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233661040 is an abundant number, since it is smaller than the sum of its proper divisors (32987794320).

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

11233661040 is a wasteful number, since it uses less digits than its factorization.

11233661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742996 (or 742984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11233661040 in words is "eleven billion, two hundred thirty-three million, six hundred sixty-one thousand, forty".