34143014400440 has 64 divisors (see below), whose sum is σ = 83809926288000. Its totient is φ = 12414997824640.

The previous prime is 34143014400421. The next prime is 34143014400493. The reversal of 34143014400440 is 4400441034143.

It is a junction number, because it is equal to n+sod(n) for n = 34143014400397 and 34143014400406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6524651 + ... + 10528869.

It is an arithmetic number, because the mean of its divisors is an integer number (1309530098250).

Almost surely, 2^{34143014400440} is an apocalyptic number.

It is an amenable number.

34143014400440 is an abundant number, since it is smaller than the sum of its proper divisors (49666911887560).

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

34143014400440 is a wasteful number, since it uses less digits than its factorization.

34143014400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023620 (or 4023616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34143014400440 its reverse (4400441034143), we get a palindrome (38543455434583).

The spelling of 34143014400440 in words is "thirty-four trillion, one hundred forty-three billion, fourteen million, four hundred thousand, four hundred forty".