11039318400 has 384 divisors, whose sum is σ = 40077970560. Its totient is φ = 2648473600.

The previous prime is 11039318393. The next prime is 11039318443. The reversal of 11039318400 is 481393011.

It is a tau number, because it is divible by the number of its divisors (384).

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, 11298712 + ... + 11299688.

It is an arithmetic number, because the mean of its divisors is an integer number (104369715).

Almost surely, 2^11039318400 is an apocalyptic number.

11039318400 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 11039318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038985280).

11039318400 is an abundant number, since it is smaller than the sum of its proper divisors (29038652160).

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

11039318400 is a wasteful number, since it uses less digits than its factorization.

11039318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 11039318400 in words is "eleven billion, thirty-nine million, three hundred eighteen thousand, four hundred".