11234332322400 has 144 divisors (see below), whose sum is σ = 39892092867648. Its totient is φ = 2723474496000.

The previous prime is 11234332322399. The next prime is 11234332322401. The reversal of 11234332322400 is 422323343211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11234332322399) and next prime (11234332322401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234332322401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212745046 + ... + 212797845.

It is an arithmetic number, because the mean of its divisors is an integer number (277028422692).

Almost surely, 2^{11234332322400} is an apocalyptic number.

11234332322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234332322400 is an abundant number, since it is smaller than the sum of its proper divisors (28657760545248).

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

11234332322400 is a wasteful number, since it uses less digits than its factorization.

11234332322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425542925 (or 425542912 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 11234332322400 its reverse (422323343211), we get a palindrome (11656655665611).

The spelling of 11234332322400 in words is "eleven trillion, two hundred thirty-four billion, three hundred thirty-two million, three hundred twenty-two thousand, four hundred".