11434223311400 has 192 divisors, whose sum is σ = 27400621248000. Its totient is φ = 4434718464000.

The previous prime is 11434223311307. The next prime is 11434223311439. The reversal of 11434223311400 is 411332243411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666064369 + ... + 1666071231.

It is an arithmetic number, because the mean of its divisors is an integer number (142711569000).

Almost surely, 2^{11434223311400} is an apocalyptic number.

11434223311400 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 11434223311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700310624000).

11434223311400 is an abundant number, since it is smaller than the sum of its proper divisors (15966397936600).

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

11434223311400 is a wasteful number, since it uses less digits than its factorization.

11434223311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 11434223311400 its reverse (411332243411), we get a palindrome (11845555554811).

The spelling of 11434223311400 in words is "eleven trillion, four hundred thirty-four billion, two hundred twenty-three million, three hundred eleven thousand, four hundred".