11634003240 has 128 divisors (see below), whose sum is σ = 37732176000. Its totient is φ = 2859660288.

The previous prime is 11634003233. The next prime is 11634003281. The reversal of 11634003240 is 4230043611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11634003240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15406 + ... + 153314.

It is an arithmetic number, because the mean of its divisors is an integer number (294782625).

Almost surely, 2^11634003240 is an apocalyptic number.

11634003240 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 11634003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866088000).

11634003240 is an abundant number, since it is smaller than the sum of its proper divisors (26098172760).

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

11634003240 is a wasteful number, since it uses less digits than its factorization.

11634003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137979 (or 137975 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11634003240 its reverse (4230043611), we get a palindrome (15864046851).

The spelling of 11634003240 in words is "eleven billion, six hundred thirty-four million, three thousand, two hundred forty".