144100340340000 has 240 divisors, whose sum is σ = 515648660234400. Its totient is φ = 34933415680000.

The previous prime is 144100340339957. The next prime is 144100340340007. The reversal of 144100340340000 is 43043001441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×144100340340000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144100340340007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108506925 + ... + 109826924.

It is an arithmetic number, because the mean of its divisors is an integer number (2148536084310).

Almost surely, 2^{144100340340000} is an apocalyptic number.

144100340340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100340340000 is an abundant number, since it is smaller than the sum of its proper divisors (371548319894400).

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

144100340340000 is a wasteful number, since it uses less digits than its factorization.

144100340340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218333893 (or 218333870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144100340340000 its reverse (43043001441), we get a palindrome (144143383341441).

The spelling of 144100340340000 in words is "one hundred forty-four trillion, one hundred billion, three hundred forty million, three hundred forty thousand".