11342022200400 has 120 divisors (see below), whose sum is σ = 36345250486240. Its totient is φ = 3023459320320.

The previous prime is 11342022200351. The next prime is 11342022200401. The reversal of 11342022200400 is 400222024311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342022200401) 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, 1677606 + ... + 5049594.

Almost surely, 2^{11342022200400} is an apocalyptic number.

11342022200400 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 11342022200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172625243120).

11342022200400 is an abundant number, since it is smaller than the sum of its proper divisors (25003228285840).

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

11342022200400 is a wasteful number, since it uses less digits than its factorization.

11342022200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374813 (or 3374802 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11342022200400 its reverse (400222024311), we get a palindrome (11742244224711).

The spelling of 11342022200400 in words is "eleven trillion, three hundred forty-two billion, twenty-two million, two hundred thousand, four hundred".