11100412231440 has 320 divisors, whose sum is σ = 39874311880704. Its totient is φ = 2502177398784.

The previous prime is 11100412231417. The next prime is 11100412231483. The reversal of 11100412231440 is 4413221400111.

It is a happy number.

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 11100412231440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35475352 + ... + 35786888.

Almost surely, 2^{11100412231440} is an apocalyptic number.

11100412231440 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 11100412231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937155940352).

11100412231440 is an abundant number, since it is smaller than the sum of its proper divisors (28773899649264).

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

11100412231440 is a wasteful number, since it uses less digits than its factorization.

11100412231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311854 (or 311848 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11100412231440 its reverse (4413221400111), we get a palindrome (15513633631551).

The spelling of 11100412231440 in words is "eleven trillion, one hundred billion, four hundred twelve million, two hundred thirty-one thousand, four hundred forty".