34416541042320 has 160 divisors (see below), whose sum is σ = 107537766285312. Its totient is φ = 9104936633856.

The previous prime is 34416541042207. The next prime is 34416541042337. The reversal of 34416541042320 is 2324014561443.

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, 1021154589 + ... + 1021188291.

Almost surely, 2^{34416541042320} is an apocalyptic number.

34416541042320 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 34416541042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53768883142656).

34416541042320 is an abundant number, since it is smaller than the sum of its proper divisors (73121225242992).

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

34416541042320 is a wasteful number, since it uses less digits than its factorization.

34416541042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67349 (or 67343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 34416541042320 in words is "thirty-four trillion, four hundred sixteen billion, five hundred forty-one million, forty-two thousand, three hundred twenty".