34041143422440 has 1024 divisors, whose sum is σ = 149864894668800. Its totient is φ = 6654132633600.

The previous prime is 34041143422439. The next prime is 34041143422501. The reversal of 34041143422440 is 4422434114043.

34041143422440 is a `hidden beast` number, since 3 + 404 + 1 + 1 + 4 + 3 + 4 + 2 + 244 + 0 = 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 = 34041143422395 and 34041143422404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3705355527 + ... + 3705364713.

It is an arithmetic number, because the mean of its divisors is an integer number (146352436200).

Almost surely, 2^{34041143422440} is an apocalyptic number.

34041143422440 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 34041143422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74932447334400).

34041143422440 is an abundant number, since it is smaller than the sum of its proper divisors (115823751246360).

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

34041143422440 is a wasteful number, since it uses less digits than its factorization.

34041143422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11853 counting only the distinct ones).

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

Adding to 34041143422440 its reverse (4422434114043), we get a palindrome (38463577536483).

The spelling of 34041143422440 in words is "thirty-four trillion, forty-one billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred forty".