2214442442400 has 72 divisors (see below), whose sum is σ = 7208010157824. Its totient is φ = 590517984000.

The previous prime is 2214442442371. The next prime is 2214442442419. The reversal of 2214442442400 is 42442444122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461339776 + ... + 461344575.

It is an arithmetic number, because the mean of its divisors is an integer number (100111252192).

Almost surely, 2^{2214442442400} is an apocalyptic number.

2214442442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214442442400 is an abundant number, since it is smaller than the sum of its proper divisors (4993567715424).

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

2214442442400 is a wasteful number, since it uses less digits than its factorization.

2214442442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922684374 (or 922684361 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 2214442442400 its reverse (42442444122), we get a palindrome (2256884886522).

The spelling of 2214442442400 in words is "two trillion, two hundred fourteen billion, four hundred forty-two million, four hundred forty-two thousand, four hundred".