2241445450400 has 72 divisors (see below), whose sum is σ = 5892846325884. Its totient is φ = 827610624000.

The previous prime is 2241445450373. The next prime is 2241445450403. The reversal of 2241445450400 is 40545441422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 693202777744 + 1548242672656 = 832588^2 + 1244284^2 .

It is not an unprimeable number, because it can be changed into a prime (2241445450403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107751401 + ... + 107772200.

Almost surely, 2^{2241445450400} is an apocalyptic number.

2241445450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241445450400 is an abundant number, since it is smaller than the sum of its proper divisors (3651400875484).

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

2241445450400 is a wasteful number, since it uses less digits than its factorization.

2241445450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215523634 (or 215523621 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 2241445450400 in words is "two trillion, two hundred forty-one billion, four hundred forty-five million, four hundred fifty thousand, four hundred".