11442350400 has 336 divisors, whose sum is σ = 40653273024. Its totient is φ = 2800926720.

The previous prime is 11442350389. The next prime is 11442350453. The reversal of 11442350400 is 405324411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14538807 + ... + 14539593.

It is an arithmetic number, because the mean of its divisors is an integer number (120991884).

Almost surely, 2^11442350400 is an apocalyptic number.

11442350400 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 11442350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20326636512).

11442350400 is an abundant number, since it is smaller than the sum of its proper divisors (29210922624).

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

11442350400 is a wasteful number, since it uses less digits than its factorization.

11442350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11442350400 its reverse (405324411), we get a palindrome (11847674811).

The spelling of 11442350400 in words is "eleven billion, four hundred forty-two million, three hundred fifty thousand, four hundred".