340032122313400 has 192 divisors, whose sum is σ = 864882186854400. Its totient is φ = 123298781760000.

The previous prime is 340032122313391. The next prime is 340032122313407. The reversal of 340032122313400 is 4313221230043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340032122313407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4171671846 + ... + 4171753354.

It is an arithmetic number, because the mean of its divisors is an integer number (4504594723200).

Almost surely, 2^{340032122313400} 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 340032122313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432441093427200).

340032122313400 is an abundant number, since it is smaller than the sum of its proper divisors (524850064541000).

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

340032122313400 is a wasteful number, since it uses less digits than its factorization.

340032122313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86870 (or 86861 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 340032122313400 its reverse (4313221230043), we get a palindrome (344345343543443).

The spelling of 340032122313400 in words is "three hundred forty trillion, thirty-two billion, one hundred twenty-two million, three hundred thirteen thousand, four hundred".