11400434122000 has 320 divisors, whose sum is σ = 35553439434240. Its totient is φ = 3430850304000.

The previous prime is 11400434121961. The next prime is 11400434122001. The reversal of 11400434122000 is 22143400411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11400434122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3189642 + ... + 5742358.

It is an arithmetic number, because the mean of its divisors is an integer number (111104498232).

Almost surely, 2^{11400434122000} is an apocalyptic number.

11400434122000 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 11400434122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776719717120).

11400434122000 is an abundant number, since it is smaller than the sum of its proper divisors (24153005312240).

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

11400434122000 is a wasteful number, since it uses less digits than its factorization.

11400434122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552787 (or 2552771 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11400434122000 its reverse (22143400411), we get a palindrome (11422577522411).

The spelling of 11400434122000 in words is "eleven trillion, four hundred billion, four hundred thirty-four million, one hundred twenty-two thousand".