4144304141400 has 192 divisors, whose sum is σ = 13528799280000. Its totient is φ = 1046573291520.

The previous prime is 4144304141359. The next prime is 4144304141423. The reversal of 4144304141400 is 41414034414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29672931 + ... + 29812269.

It is an arithmetic number, because the mean of its divisors is an integer number (70462496250).

Almost surely, 2^{4144304141400} is an apocalyptic number.

4144304141400 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 4144304141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764399640000).

4144304141400 is an abundant number, since it is smaller than the sum of its proper divisors (9384495138600).

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

4144304141400 is a wasteful number, since it uses less digits than its factorization.

4144304141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141986 (or 141977 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4144304141400 its reverse (41414034414), we get a palindrome (4185718175814).

The spelling of 4144304141400 in words is "four trillion, one hundred forty-four billion, three hundred four million, one hundred forty-one thousand, four hundred".