2144144510400 has 672 divisors, whose sum is σ = 7464128693760. Its totient is φ = 538014597120.

The previous prime is 2144144510383. The next prime is 2144144510461. The reversal of 2144144510400 is 40154414412.

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 95 ways as a sum of consecutive naturals, for example, 1202547909 + ... + 1202549691.

Almost surely, 2^{2144144510400} is an apocalyptic number.

2144144510400 is a gapful number since it is divisible by the number (20) 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 2144144510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732064346880).

2144144510400 is an abundant number, since it is smaller than the sum of its proper divisors (5319984183360).

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

2144144510400 is a wasteful number, since it uses less digits than its factorization.

2144144510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 2144144510400 its reverse (40154414412), we get a palindrome (2184298924812).

The spelling of 2144144510400 in words is "two trillion, one hundred forty-four billion, one hundred forty-four million, five hundred ten thousand, four hundred".