34054304555440 has 160 divisors (see below), whose sum is σ = 86549883952896. Its totient is φ = 12384723225600.

The previous prime is 34054304555399. The next prime is 34054304555441. The reversal of 34054304555440 is 4455540345043.

It is not an unprimeable number, because it can be changed into a prime (34054304555441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688622715 + ... + 688672165.

Almost surely, 2^{34054304555440} 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 34054304555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43274941976448).

34054304555440 is an abundant number, since it is smaller than the sum of its proper divisors (52495579397456).

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

34054304555440 is a wasteful number, since it uses less digits than its factorization.

34054304555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59427 (or 59421 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

The spelling of 34054304555440 in words is "thirty-four trillion, fifty-four billion, three hundred four million, five hundred fifty-five thousand, four hundred forty".