11234410000 has 400 divisors, whose sum is σ = 31628475648. Its totient is φ = 3827200000.

The previous prime is 11234409973. The next prime is 11234410001. The reversal of 11234410000 is 1443211.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11234410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211969974 + ... + 211970026.

Almost surely, 2^11234410000 is an apocalyptic number.

11234410000 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 11234410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814237824).

11234410000 is an abundant number, since it is smaller than the sum of its proper divisors (20394065648).

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

11234410000 is a wasteful number, since it uses less digits than its factorization.

11234410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11234410000 its reverse (1443211), we get a palindrome (11235853211).

The spelling of 11234410000 in words is "eleven billion, two hundred thirty-four million, four hundred ten thousand".