144440411441400 has 384 divisors, whose sum is σ = 505729369790400. Its totient is φ = 37881785548800.

The previous prime is 144440411441353. The next prime is 144440411441429. The reversal of 144440411441400 is 4144114044441.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3897771672 + ... + 3897808728.

Almost surely, 2^{144440411441400} is an apocalyptic number.

144440411441400 is a gapful number since it is divisible by the number (10) 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 144440411441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252864684895200).

144440411441400 is an abundant number, since it is smaller than the sum of its proper divisors (361288958349000).

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

144440411441400 is a wasteful number, since it uses less digits than its factorization.

144440411441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48976 (or 48961 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 144440411441400 its reverse (4144114044441), we get a palindrome (148584525485841).

The spelling of 144440411441400 in words is "one hundred forty-four trillion, four hundred forty billion, four hundred eleven million, four hundred forty-one thousand, four hundred".