11234400104400 has 240 divisors, whose sum is σ = 39327903234048. Its totient is φ = 2718719424000.

The previous prime is 11234400104383. The next prime is 11234400104549. The reversal of 11234400104400 is 440100443211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 6791937 + ... + 8282463.

Almost surely, 2^{11234400104400} is an apocalyptic number.

11234400104400 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 11234400104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663951617024).

11234400104400 is an abundant number, since it is smaller than the sum of its proper divisors (28093503129648).

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

11234400104400 is a wasteful number, since it uses less digits than its factorization.

11234400104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491130 (or 1491119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11234400104400 its reverse (440100443211), we get a palindrome (11674500547611).

The spelling of 11234400104400 in words is "eleven trillion, two hundred thirty-four billion, four hundred million, one hundred four thousand, four hundred".