11134823040 has 384 divisors, whose sum is σ = 43306099200. Its totient is φ = 2611814400.

The previous prime is 11134823027. The next prime is 11134823057. The reversal of 11134823040 is 4032843111.

11134823040 is a `hidden beast` number, since 1 + 11 + 348 + 2 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11134823040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11134822995 and 11134823013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961326 + ... + 1966994.

It is an arithmetic number, because the mean of its divisors is an integer number (112776300).

Almost surely, 2^11134823040 is an apocalyptic number.

11134823040 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 11134823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

11134823040 is an abundant number, since it is smaller than the sum of its proper divisors (32171276160).

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

11134823040 is a wasteful number, since it uses less digits than its factorization.

11134823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11134823040 in words is "eleven billion, one hundred thirty-four million, eight hundred twenty-three thousand, forty".