144051151214040 has 256 divisors, whose sum is σ = 494437835888640. Its totient is φ = 32889452544000.

The previous prime is 144051151213993. The next prime is 144051151214041. The reversal of 144051151214040 is 40412151150441.

It is a junction number, because it is equal to n+sod(n) for n = 144051151213992 and 144051151214010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144051151214041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2971266600 + ... + 2971315080.

It is an arithmetic number, because the mean of its divisors is an integer number (1931397796440).

Almost surely, 2^{144051151214040} is an apocalyptic number.

144051151214040 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 144051151214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247218917944320).

144051151214040 is an abundant number, since it is smaller than the sum of its proper divisors (350386684674600).

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

144051151214040 is a wasteful number, since it uses less digits than its factorization.

144051151214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52354 (or 52350 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 144051151214040 in words is "one hundred forty-four trillion, fifty-one billion, one hundred fifty-one million, two hundred fourteen thousand, forty".