144434441042400 has 144 divisors (see below), whose sum is σ = 478102480732800. Its totient is φ = 37863039874560.

The previous prime is 144434441042299. The next prime is 144434441042473. The reversal of 144434441042400 is 4240144434441.

It is a super-2 number, since 2×144434441042400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509867020 + ... + 510150219.

It is an arithmetic number, because the mean of its divisors is an integer number (3320156116200).

Almost surely, 2^{144434441042400} is an apocalyptic number.

144434441042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434441042400 is an abundant number, since it is smaller than the sum of its proper divisors (333668039690400).

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

144434441042400 is a wasteful number, since it uses less digits than its factorization.

144434441042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020017321 (or 1020017308 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 144434441042400 its reverse (4240144434441), we get a palindrome (148674585476841).

The spelling of 144434441042400 in words is "one hundred forty-four trillion, four hundred thirty-four billion, four hundred forty-one million, forty-two thousand, four hundred".