144311213323040 has 48 divisors (see below), whose sum is σ = 340943394775032. Its totient is φ = 57723104876544.

The previous prime is 144311213323027. The next prime is 144311213323093. The reversal of 144311213323040 is 40323312113441.

It can be written as a sum of positive squares in 4 ways, for example, as 99445490839696 + 44865722483344 = 9972236^2 + 6698188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144311213322988 and 144311213323006.

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 7 ways as a sum of consecutive naturals, for example, 4060319 + ... + 17467358.

Almost surely, 2^{144311213323040} is an apocalyptic number.

144311213323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311213323040 is an abundant number, since it is smaller than the sum of its proper divisors (196632181451992).

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

144311213323040 is a wasteful number, since it uses less digits than its factorization.

144311213323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569589 (or 21569581 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 144311213323040 its reverse (40323312113441), we get a palindrome (184634525436481).

The spelling of 144311213323040 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirteen million, three hundred twenty-three thousand, forty".