144044030000400 has 720 divisors, whose sum is σ = 493095378143808. Its totient is φ = 35911585382400.

The previous prime is 144044030000383. The next prime is 144044030000413. The reversal of 144044030000400 is 4000030440441.

It is a super-2 number, since 2×144044030000400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4597183134 + ... + 4597214466.

Almost surely, 2^{144044030000400} is an apocalyptic number.

144044030000400 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 144044030000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246547689071904).

144044030000400 is an abundant number, since it is smaller than the sum of its proper divisors (349051348143408).

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

144044030000400 is a wasteful number, since it uses less digits than its factorization.

144044030000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31532 (or 31480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144044030000400 its reverse (4000030440441), we get a palindrome (148044060440841).

The spelling of 144044030000400 in words is "one hundred forty-four trillion, forty-four billion, thirty million, four hundred", and thus it is an aban number.