11010400444320 has 192 divisors, whose sum is σ = 35105423721984. Its totient is φ = 2900335539200.

The previous prime is 11010400444301. The next prime is 11010400444333. The reversal of 11010400444320 is 2344400401011.

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

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 395318395 + ... + 395346245.

It is an arithmetic number, because the mean of its divisors is an integer number (182840748552).

Almost surely, 2^{11010400444320} is an apocalyptic number.

11010400444320 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 11010400444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552711860992).

11010400444320 is an abundant number, since it is smaller than the sum of its proper divisors (24095023277664).

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

11010400444320 is a wasteful number, since it uses less digits than its factorization.

11010400444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37875 (or 37867 counting only the distinct ones).

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

Adding to 11010400444320 its reverse (2344400401011), we get a palindrome (13354800845331).

The spelling of 11010400444320 in words is "eleven trillion, ten billion, four hundred million, four hundred forty-four thousand, three hundred twenty".