11004444440400 has 240 divisors, whose sum is σ = 37335359991168. Its totient is φ = 2761095168000.

The previous prime is 11004444440393. The next prime is 11004444440443. The reversal of 11004444440400 is 404444440011.

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 (30).

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, 71547580 + ... + 71701220.

Almost surely, 2^{11004444440400} is an apocalyptic number.

11004444440400 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 11004444440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667679995584).

11004444440400 is an abundant number, since it is smaller than the sum of its proper divisors (26330915550768).

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

11004444440400 is a wasteful number, since it uses less digits than its factorization.

11004444440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157190 (or 157179 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 11004444440400 its reverse (404444440011), we get a palindrome (11408888880411).

The spelling of 11004444440400 in words is "eleven trillion, four billion, four hundred forty-four million, four hundred forty thousand, four hundred".