144908831340 has 576 divisors, whose sum is σ = 558880358400. Its totient is φ = 29576171520.

The previous prime is 144908831323. The next prime is 144908831341. The reversal of 144908831340 is 43138809441.

144908831340 is a `hidden beast` number, since 14 + 490 + 88 + 31 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144908831341) 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, 85289811 + ... + 85291509.

It is an arithmetic number, because the mean of its divisors is an integer number (970278400).

Almost surely, 2^144908831340 is an apocalyptic number.

144908831340 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 144908831340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279440179200).

144908831340 is an abundant number, since it is smaller than the sum of its proper divisors (413971527060).

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

144908831340 is a wasteful number, since it uses less digits than its factorization.

144908831340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 144908831340 in words is "one hundred forty-four billion, nine hundred eight million, eight hundred thirty-one thousand, three hundred forty".