11634525040 has 40 divisors (see below), whose sum is σ = 27088989408. Its totient is φ = 4647148800.

The previous prime is 11634525011. The next prime is 11634525043. The reversal of 11634525040 is 4052543611.

It is a happy number.

11634525040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×11634525040⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11634524993 and 11634525011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634525043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47652 + ... + 159811.

Almost surely, 2^11634525040 is an apocalyptic number.

11634525040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11634525040 is an abundant number, since it is smaller than the sum of its proper divisors (15454464368).

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

11634525040 is a wasteful number, since it uses less digits than its factorization.

11634525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208177 (or 208171 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 11634525040 in words is "eleven billion, six hundred thirty-four million, five hundred twenty-five thousand, forty".