34214020140300 has 576 divisors, whose sum is σ = 133168814650368. Its totient is φ = 6549903360000.

The previous prime is 34214020140259. The next prime is 34214020140341. The reversal of 34214020140300 is 304102041243.

It is an interprime number because it is at equal distance from previous prime (34214020140259) and next prime (34214020140341).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156346960 + ... + 156565640.

It is an arithmetic number, because the mean of its divisors is an integer number (231195858768).

Almost surely, 2^{34214020140300} is an apocalyptic number.

34214020140300 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 34214020140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66584407325184).

34214020140300 is an abundant number, since it is smaller than the sum of its proper divisors (98954794510068).

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

34214020140300 is a wasteful number, since it uses less digits than its factorization.

34214020140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219250 (or 219243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34214020140300 its reverse (304102041243), we get a palindrome (34518122181543).

The spelling of 34214020140300 in words is "thirty-four trillion, two hundred fourteen billion, twenty million, one hundred forty thousand, three hundred".