144005040044100 has 729 divisors, whose sum is σ = 490467935365317. Its totient is φ = 35334762347520.

The previous prime is 144005040044039. The next prime is 144005040044113. The reversal of 144005040044100 is 1440040500441.

The square root of 144005040044100 is 12000210.

It is a perfect power (a square), and thus also a powerful number.

144005040044100 is a `hidden beast` number, since 14 + 4 + 0 + 0 + 504 + 0 + 0 + 44 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 79784947146564 + 64220092897536 = 8932242^2 + 8013744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 253084428616 + ... + 253084429184.

Almost surely, 2^{144005040044100} is an apocalyptic number.

144005040044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144005040044100 is the 12000210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144005040044100

144005040044100 is an abundant number, since it is smaller than the sum of its proper divisors (346462895321217).

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

144005040044100 is a wasteful number, since it uses less digits than its factorization.

144005040044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 144005040044100 its reverse (1440040500441), we get a palindrome (145445080544541).

The spelling of 144005040044100 in words is "one hundred forty-four trillion, five billion, forty million, forty-four thousand, one hundred".