11534100040 has 32 divisors (see below), whose sum is σ = 25962975360. Its totient is φ = 4611640000.

The previous prime is 11534100031. The next prime is 11534100059. The reversal of 11534100040 is 4000143511.

It is a super-3 number, since 3×11534100040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11534099990 and 11534100017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32715 + ... + 155365.

It is an arithmetic number, because the mean of its divisors is an integer number (811342980).

Almost surely, 2^11534100040 is an apocalyptic number.

11534100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11534100040 is an abundant number, since it is smaller than the sum of its proper divisors (14428875320).

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

11534100040 is a wasteful number, since it uses less digits than its factorization.

11534100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125013 (or 125009 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11534100040 its reverse (4000143511), we get a palindrome (15534243551).

The spelling of 11534100040 in words is "eleven billion, five hundred thirty-four million, one hundred thousand, forty".