2144142433400 has 288 divisors, whose sum is σ = 5540713340400. Its totient is φ = 771015168000.

The previous prime is 2144142433373. The next prime is 2144142433409. The reversal of 2144142433400 is 43342414412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144142433409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2020868870 + ... + 2020869930.

Almost surely, 2^{2144142433400} is an apocalyptic number.

2144142433400 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 2144142433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770356670200).

2144142433400 is an abundant number, since it is smaller than the sum of its proper divisors (3396570907000).

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

2144142433400 is a wasteful number, since it uses less digits than its factorization.

2144142433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2144142433400 its reverse (43342414412), we get a palindrome (2187484847812).

The spelling of 2144142433400 in words is "two trillion, one hundred forty-four billion, one hundred forty-two million, four hundred thirty-three thousand, four hundred".