11334413400 has 192 divisors, whose sum is σ = 37284533280. Its totient is φ = 2838528000.

The previous prime is 11334413371. The next prime is 11334413411. The reversal of 11334413400 is 431443311.

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, 6292500 + ... + 6294300.

Almost surely, 2^11334413400 is an apocalyptic number.

11334413400 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 11334413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642266640).

11334413400 is an abundant number, since it is smaller than the sum of its proper divisors (25950119880).

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

11334413400 is a wasteful number, since it uses less digits than its factorization.

11334413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11334413400 its reverse (431443311), we get a palindrome (11765856711).

The spelling of 11334413400 in words is "eleven billion, three hundred thirty-four million, four hundred thirteen thousand, four hundred".