11200013440004 has 6 divisors (see below), whose sum is σ = 19600023520014. Its totient is φ = 5600006720000.

The previous prime is 11200013440003. The next prime is 11200013440009. The reversal of 11200013440004 is 40004431000211.

It can be written as a sum of positive squares in only one way, i.e., 9086595302404 + 2113418137600 = 3014398^2 + 1453760^2 .

It is a super-4 number, since 4×11200013440004⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200013440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1400001679997 + ... + 1400001680004.

It is an arithmetic number, because the mean of its divisors is an integer number (3266670586669).

Almost surely, 2^{11200013440004} is an apocalyptic number.

It is an amenable number.

11200013440004 is a deficient number, since it is larger than the sum of its proper divisors (8400010080010).

11200013440004 is a wasteful number, since it uses less digits than its factorization.

11200013440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800003360005 (or 2800003360003 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11200013440004 its reverse (40004431000211), we get a palindrome (51204444440215).

The spelling of 11200013440004 in words is "eleven trillion, two hundred billion, thirteen million, four hundred forty thousand, four".