144414374400 has 720 divisors, whose sum is σ = 562292040024. Its totient is φ = 35247882240.

The previous prime is 144414374371. The next prime is 144414374441. The reversal of 144414374400 is 4473414441.

144414374400 is a `hidden beast` number, since 1 + 4 + 44 + 143 + 74 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 66613545216 + 77800829184 = 258096^2 + 278928^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72459804 + ... + 72461796.

Almost surely, 2^144414374400 is an apocalyptic number.

144414374400 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 144414374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281146020012).

144414374400 is an abundant number, since it is smaller than the sum of its proper divisors (417877665624).

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

144414374400 is a wasteful number, since it uses less digits than its factorization.

144414374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 144414374400 its reverse (4473414441), we get a palindrome (148887788841).

The spelling of 144414374400 in words is "one hundred forty-four billion, four hundred fourteen million, three hundred seventy-four thousand, four hundred".