11234210400 has 432 divisors, whose sum is σ = 46207980000. Its totient is φ = 2567255040.

The previous prime is 11234210357. The next prime is 11234210431. The reversal of 11234210400 is 401243211.

11234210400 is a `hidden beast` number, since 11 + 234 + 21 + 0 + 400 = 666.

It is a super-2 number, since 2×11234210400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2467326 + ... + 2471874.

Almost surely, 2^11234210400 is an apocalyptic number.

11234210400 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 11234210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23103990000).

11234210400 is an abundant number, since it is smaller than the sum of its proper divisors (34973769600).

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

11234210400 is a wasteful number, since it uses less digits than its factorization.

11234210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4566 counting only the distinct ones).

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

Adding to 11234210400 its reverse (401243211), we get a palindrome (11635453611).

The spelling of 11234210400 in words is "eleven billion, two hundred thirty-four million, two hundred ten thousand, four hundred".