11334413440 has 384 divisors, whose sum is σ = 33153753600. Its totient is φ = 3690086400.

The previous prime is 11334413437. The next prime is 11334413509. The reversal of 11334413440 is 4431443311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11334413399 and 11334413408.

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, 86522175 + ... + 86522305.

It is an arithmetic number, because the mean of its divisors is an integer number (86337900).

Almost surely, 2^11334413440 is an apocalyptic number.

11334413440 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 11334413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576876800).

11334413440 is an abundant number, since it is smaller than the sum of its proper divisors (21819340160).

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

11334413440 is a wasteful number, since it uses less digits than its factorization.

11334413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11334413440 its reverse (4431443311), we get a palindrome (15765856751).

The spelling of 11334413440 in words is "eleven billion, three hundred thirty-four million, four hundred thirteen thousand, four hundred forty".