144311011431040 has 256 divisors, whose sum is σ = 354973013176320. Its totient is φ = 56070259789824.

The previous prime is 144311011431031. The next prime is 144311011431053. The reversal of 144311011431040 is 40134110113441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4248548137 + ... + 4248582103.

It is an arithmetic number, because the mean of its divisors is an integer number (1386613332720).

Almost surely, 2^{144311011431040} is an apocalyptic number.

144311011431040 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 144311011431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177486506588160).

144311011431040 is an abundant number, since it is smaller than the sum of its proper divisors (210662001745280).

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

144311011431040 is a wasteful number, since it uses less digits than its factorization.

144311011431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34879 (or 34867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 144311011431040 its reverse (40134110113441), we get a palindrome (184445121544481).

The spelling of 144311011431040 in words is "one hundred forty-four trillion, three hundred eleven billion, eleven million, four hundred thirty-one thousand, forty".