144200201040 has 240 divisors, whose sum is σ = 553669848576. Its totient is φ = 32947200000.

The previous prime is 144200201027. The next prime is 144200201077. The reversal of 144200201040 is 40102002441.

144200201040 is a `hidden beast` number, since 1 + 4 + 420 + 0 + 201 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20161465 + ... + 20168615.

Almost surely, 2^144200201040 is an apocalyptic number.

144200201040 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 144200201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276834924288).

144200201040 is an abundant number, since it is smaller than the sum of its proper divisors (409469647536).

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

144200201040 is a wasteful number, since it uses less digits than its factorization.

144200201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 144200201040 its reverse (40102002441), we get a palindrome (184302203481).

The spelling of 144200201040 in words is "one hundred forty-four billion, two hundred million, two hundred one thousand, forty".