144480395817010 has 384 divisors, whose sum is σ = 319782911385600. Its totient is φ = 46393027591680.

The previous prime is 144480395817007. The next prime is 144480395817013. The reversal of 144480395817010 is 10718593084441.

144480395817010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144480395817007) and next prime (144480395817013).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (144480395817013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25378601724 + ... + 25378607416.

It is an arithmetic number, because the mean of its divisors is an integer number (832767998400).

Almost surely, 2^{144480395817010} is an apocalyptic number.

144480395817010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144480395817010 is an abundant number, since it is smaller than the sum of its proper divisors (175302515568590).

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

144480395817010 is a wasteful number, since it uses less digits than its factorization.

144480395817010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 144480395817010 in words is "one hundred forty-four trillion, four hundred eighty billion, three hundred ninety-five million, eight hundred seventeen thousand, ten".