2241434044400 has 120 divisors (see below), whose sum is σ = 5475995247504. Its totient is φ = 881445427200.

The previous prime is 2241434044373. The next prime is 2241434044411. The reversal of 2241434044400 is 44404341422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52511867 + ... + 52554533.

Almost surely, 2^{2241434044400} is an apocalyptic number.

2241434044400 is a gapful number since it is divisible by the number (20) 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 2241434044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737997623752).

2241434044400 is an abundant number, since it is smaller than the sum of its proper divisors (3234561203104).

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

2241434044400 is a wasteful number, since it uses less digits than its factorization.

2241434044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44899 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2241434044400 its reverse (44404341422), we get a palindrome (2285838385822).

The spelling of 2241434044400 in words is "two trillion, two hundred forty-one billion, four hundred thirty-four million, forty-four thousand, four hundred".