11432100240 has 480 divisors, whose sum is σ = 43816945536. Its totient is φ = 2747105280.

The previous prime is 11432100157. The next prime is 11432100283. The reversal of 11432100240 is 4200123411.

It is a Cunningham number, because it is equal to 106921²-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41270982 + ... + 41271258.

Almost surely, 2^11432100240 is an apocalyptic number.

11432100240 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 11432100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908472768).

11432100240 is an abundant number, since it is smaller than the sum of its proper divisors (32384845296).

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

11432100240 is a wasteful number, since it uses less digits than its factorization.

11432100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11432100240 its reverse (4200123411), we get a palindrome (15632223651).

The spelling of 11432100240 in words is "eleven billion, four hundred thirty-two million, one hundred thousand, two hundred forty".