444100141420400 has 120 divisors (see below), whose sum is σ = 1076415237098880. Its totient is φ = 176071214085120.

The previous prime is 444100141420363. The next prime is 444100141420511. The reversal of 444100141420400 is 4024141001444.

It is a happy number.

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, 9556274 + ... + 31297326.

It is an arithmetic number, because the mean of its divisors is an integer number (8970126975824).

Almost surely, 2^{444100141420400} is an apocalyptic number.

444100141420400 is a gapful number since it is divisible by the number (40) 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 444100141420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538207618549440).

444100141420400 is an abundant number, since it is smaller than the sum of its proper divisors (632315095678480).

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

444100141420400 is a wasteful number, since it uses less digits than its factorization.

444100141420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21741523 (or 21741512 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 444100141420400 its reverse (4024141001444), we get a palindrome (448124282421844).

The spelling of 444100141420400 in words is "four hundred forty-four trillion, one hundred billion, one hundred forty-one million, four hundred twenty thousand, four hundred".