144397165007340 has 1152 divisors, whose sum is σ = 561584856268800. Its totient is φ = 30088764195840.

The previous prime is 144397165007339. The next prime is 144397165007411. The reversal of 144397165007340 is 43700561793441.

144397165007340 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 97 + 1 + 6 + 500 + 7 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18784588977 + ... + 18784596663.

It is an arithmetic number, because the mean of its divisors is an integer number (487486854400).

Almost surely, 2^{144397165007340} is an apocalyptic number.

144397165007340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144397165007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280792428134400).

144397165007340 is an abundant number, since it is smaller than the sum of its proper divisors (417187691261460).

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

144397165007340 is a wasteful number, since it uses less digits than its factorization.

144397165007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 144397165007340 in words is "one hundred forty-four trillion, three hundred ninety-seven billion, one hundred sixty-five million, seven thousand, three hundred forty".