144115434552540 has 192 divisors, whose sum is σ = 450484313190912. Its totient is φ = 34121570380800.

The previous prime is 144115434552517. The next prime is 144115434552599. The reversal of 144115434552540 is 45255434511441.

It is a super-2 number, since 2×144115434552540² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144115434552540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329585494 + ... + 330022466.

It is an arithmetic number, because the mean of its divisors is an integer number (2346272464536).

Almost surely, 2^{144115434552540} is an apocalyptic number.

144115434552540 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 144115434552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225242156595456).

144115434552540 is an abundant number, since it is smaller than the sum of its proper divisors (306368878638372).

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

144115434552540 is a wasteful number, since it uses less digits than its factorization.

144115434552540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448660 (or 448658 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 48.

The spelling of 144115434552540 in words is "one hundred forty-four trillion, one hundred fifteen billion, four hundred thirty-four million, five hundred fifty-two thousand, five hundred forty".