11341565400 has 192 divisors, whose sum is σ = 39079998720. Its totient is φ = 2697510400.

The previous prime is 11341565399. The next prime is 11341565407. The reversal of 11341565400 is 456514311.

It is a happy number.

It is a super-2 number, since 2×11341565400² (a number of 21 digits) contains 22 as substring.

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 (11341565407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333589 + ... + 366011.

It is an arithmetic number, because the mean of its divisors is an integer number (203541660).

Almost surely, 2^11341565400 is an apocalyptic number.

11341565400 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 11341565400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539999360).

11341565400 is an abundant number, since it is smaller than the sum of its proper divisors (27738433320).

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

11341565400 is a wasteful number, since it uses less digits than its factorization.

11341565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32506 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 11341565400 in words is "eleven billion, three hundred forty-one million, five hundred sixty-five thousand, four hundred".