4344024400100 has 216 divisors, whose sum is σ = 11928061971840. Its totient is φ = 1344094963200.

The previous prime is 4344024400063. The next prime is 4344024400123. The reversal of 4344024400100 is 10044204434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4344024400100.

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 71 ways as a sum of consecutive naturals, for example, 11416721 + ... + 11791079.

Almost surely, 2^{4344024400100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344024400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964030985920).

4344024400100 is an abundant number, since it is smaller than the sum of its proper divisors (7584037571740).

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

4344024400100 is a wasteful number, since it uses less digits than its factorization.

4344024400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374539 (or 374521 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4344024400100 its reverse (10044204434), we get a palindrome (4354068604534).

The spelling of 4344024400100 in words is "four trillion, three hundred forty-four billion, twenty-four million, four hundred thousand, one hundred".