340312110420000 has 480 divisors, whose sum is σ = 1124112442622400. Its totient is φ = 90114845184000.

The previous prime is 340312110419951. The next prime is 340312110420001. The reversal of 340312110420000 is 24011213043.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (340312110420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16098769431 + ... + 16098790569.

It is an arithmetic number, because the mean of its divisors is an integer number (2341900922130).

Almost surely, 2^{340312110420000} is an apocalyptic number.

340312110420000 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 340312110420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562056221311200).

340312110420000 is an abundant number, since it is smaller than the sum of its proper divisors (783800332202400).

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

340312110420000 is a wasteful number, since it uses less digits than its factorization.

340312110420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23038 (or 23015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 340312110420000 its reverse (24011213043), we get a palindrome (340336121633043).

The spelling of 340312110420000 in words is "three hundred forty trillion, three hundred twelve billion, one hundred ten million, four hundred twenty thousand".