34141301340000 has 240 divisors, whose sum is σ = 113339593870272. Its totient is φ = 8994654784000.

The previous prime is 34141301339983. The next prime is 34141301340059. The reversal of 34141301340000 is 4310314143.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1552159 + ... + 8407841.

Almost surely, 2^{34141301340000} is an apocalyptic number.

34141301340000 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 34141301340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56669796935136).

34141301340000 is an abundant number, since it is smaller than the sum of its proper divisors (79198292530272).

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

34141301340000 is an equidigital number, since it uses as much as digits as its factorization.

34141301340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855799 (or 6855776 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34141301340000 its reverse (4310314143), we get a palindrome (34145611654143).

The spelling of 34141301340000 in words is "thirty-four trillion, one hundred forty-one billion, three hundred one million, three hundred forty thousand".