34144341024240 has 320 divisors, whose sum is σ = 118207114260480. Its totient is φ = 9058846325760.

The previous prime is 34144341024151. The next prime is 34144341024259. The reversal of 34144341024240 is 4242014344143.

34144341024240 is a `hidden beast` number, since 3 + 41 + 4 + 434 + 102 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34144341024195 and 34144341024204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829914070 + ... + 829955210.

It is an arithmetic number, because the mean of its divisors is an integer number (369397232064).

Almost surely, 2^{34144341024240} is an apocalyptic number.

34144341024240 is a gapful number since it is divisible by the number (30) 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 34144341024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59103557130240).

34144341024240 is an abundant number, since it is smaller than the sum of its proper divisors (84062773236240).

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

34144341024240 is a wasteful number, since it uses less digits than its factorization.

34144341024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43109 (or 43097 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34144341024240 its reverse (4242014344143), we get a palindrome (38386355368383).

The spelling of 34144341024240 in words is "thirty-four trillion, one hundred forty-four billion, three hundred forty-one million, twenty-four thousand, two hundred forty".