34113335441440 has 192 divisors, whose sum is σ = 82032856012800. Its totient is φ = 13402750749696.

The previous prime is 34113335441411. The next prime is 34113335441467. The reversal of 34113335441440 is 4414453331143.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34113335441393 and 34113335441402.

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, 5842322041 + ... + 5842327879.

It is an arithmetic number, because the mean of its divisors is an integer number (427254458400).

Almost surely, 2^{34113335441440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34113335441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41016428006400).

34113335441440 is an abundant number, since it is smaller than the sum of its proper divisors (47919520571360).

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

34113335441440 is a wasteful number, since it uses less digits than its factorization.

34113335441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 34113335441440 its reverse (4414453331143), we get a palindrome (38527788772583).

The spelling of 34113335441440 in words is "thirty-four trillion, one hundred thirteen billion, three hundred thirty-five million, four hundred forty-one thousand, four hundred forty".