144211420440 has 256 divisors, whose sum is σ = 507271680000. Its totient is φ = 36341167104.

The previous prime is 144211420433. The next prime is 144211420477. The reversal of 144211420440 is 44024112441.

It is a happy number.

144211420440 is a `hidden beast` number, since 1 + 4 + 4 + 211 + 4 + 2 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8384089 + ... + 8401271.

It is an arithmetic number, because the mean of its divisors is an integer number (1981530000).

Almost surely, 2^144211420440 is an apocalyptic number.

144211420440 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 144211420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253635840000).

144211420440 is an abundant number, since it is smaller than the sum of its proper divisors (363060259560).

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

144211420440 is a wasteful number, since it uses less digits than its factorization.

144211420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144211420440 its reverse (44024112441), we get a palindrome (188235532881).

The spelling of 144211420440 in words is "one hundred forty-four billion, two hundred eleven million, four hundred twenty thousand, four hundred forty".