11442384000 has 576 divisors, whose sum is σ = 43062247800. Its totient is φ = 3023308800.

The previous prime is 11442383999. The next prime is 11442384029. The reversal of 11442384000 is 48324411.

It can be written as a sum of positive squares in 4 ways, for example, as 4454761536 + 6987622464 = 66744^2 + 83592^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104975946 + ... + 104976054.

Almost surely, 2^11442384000 is an apocalyptic number.

11442384000 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 11442384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531123900).

11442384000 is an abundant number, since it is smaller than the sum of its proper divisors (31619863800).

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

11442384000 is an frugal number, since it uses more digits than its factorization.

11442384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11442384000 in words is "eleven billion, four hundred forty-two million, three hundred eighty-four thousand".