2421444344400 has 90 divisors (see below), whose sum is σ = 8403084510990. Its totient is φ = 645718490880.

The previous prime is 2421444344399. The next prime is 2421444344441. The reversal of 2421444344400 is 44434441242.

It is a happy number.

2421444344400 is a `hidden beast` number, since 2 + 4 + 214 + 4 + 4 + 34 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 289762583616 + 2131681760784 = 538296^2 + 1460028^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×2421444344400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 336308115 + ... + 336315314.

Almost surely, 2^{2421444344400} is an apocalyptic number.

2421444344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421444344400 is an abundant number, since it is smaller than the sum of its proper divisors (5981640166590).

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

2421444344400 is a wasteful number, since it uses less digits than its factorization.

2421444344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672623453 (or 672623439 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 2421444344400 its reverse (44434441242), we get a palindrome (2465878785642).

The spelling of 2421444344400 in words is "two trillion, four hundred twenty-one billion, four hundred forty-four million, three hundred forty-four thousand, four hundred".