144040032024400 has 60 divisors (see below), whose sum is σ = 351729229079164. Its totient is φ = 56671488000000.

The previous prime is 144040032024307. The next prime is 144040032024409. The reversal of 144040032024400 is 4420230040441.

It can be written as a sum of positive squares in 6 ways, for example, as 45760408446736 + 98279623577664 = 6764644^2 + 9913608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040032024409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2951615601 + ... + 2951664400.

Almost surely, 2^{144040032024400} is an apocalyptic number.

144040032024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040032024400 is an abundant number, since it is smaller than the sum of its proper divisors (207689197054764).

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

144040032024400 is a wasteful number, since it uses less digits than its factorization.

144040032024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903280080 (or 5903280069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 144040032024400 its reverse (4420230040441), we get a palindrome (148460262064841).

The spelling of 144040032024400 in words is "one hundred forty-four trillion, forty billion, thirty-two million, twenty-four thousand, four hundred".