11034343312400 has 120 divisors (see below), whose sum is σ = 26544797661120. Its totient is φ = 4407949370880.

The previous prime is 11034343312387. The next prime is 11034343312411. The reversal of 11034343312400 is 421334343011.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1276084877 + ... + 1276093523.

It is an arithmetic number, because the mean of its divisors is an integer number (221206647176).

Almost surely, 2^{11034343312400} is an apocalyptic number.

11034343312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034343312400 is an abundant number, since it is smaller than the sum of its proper divisors (15510454348720).

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

11034343312400 is a wasteful number, since it uses less digits than its factorization.

11034343312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 11034343312400 its reverse (421334343011), we get a palindrome (11455677655411).

The spelling of 11034343312400 in words is "eleven trillion, thirty-four billion, three hundred forty-three million, three hundred twelve thousand, four hundred".