34443101410040 has 64 divisors (see below), whose sum is σ = 78283050298560. Its totient is φ = 13637559859200.

The previous prime is 34443101410037. The next prime is 34443101410061. The reversal of 34443101410040 is 4001410134443.

It is a junction number, because it is equal to n+sod(n) for n = 34443101409985 and 34443101410012.

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, 15854549 + ... + 17895611.

It is an arithmetic number, because the mean of its divisors is an integer number (1223172660915).

Almost surely, 2^{34443101410040} is an apocalyptic number.

It is an amenable number.

34443101410040 is an abundant number, since it is smaller than the sum of its proper divisors (43839948888520).

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

34443101410040 is a wasteful number, since it uses less digits than its factorization.

34443101410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045352 (or 2045348 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 34443101410040 its reverse (4001410134443), we get a palindrome (38444511544483).

The spelling of 34443101410040 in words is "thirty-four trillion, four hundred forty-three billion, one hundred one million, four hundred ten thousand, forty".