11442002880 has 224 divisors, whose sum is σ = 45292792320. Its totient is φ = 2377543680.

The previous prime is 11442002879. The next prime is 11442002909. The reversal of 11442002880 is 8820024411.

It is a tau number, because it is divible by the number of its divisors (224).

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 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, 3475 + ... + 151314.

Almost surely, 2^11442002880 is an apocalyptic number.

11442002880 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 11442002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646396160).

11442002880 is an abundant number, since it is smaller than the sum of its proper divisors (33850789440).

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

11442002880 is a wasteful number, since it uses less digits than its factorization.

11442002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154827 (or 154817 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 11442002880 in words is "eleven billion, four hundred forty-two million, two thousand, eight hundred eighty".