34442414400114 has 640 divisors, whose sum is σ = 93993252249600. Its totient is φ = 9223463208960.

The previous prime is 34442414400113. The next prime is 34442414400137. The reversal of 34442414400114 is 41100441424443.

34442414400114 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 241 + 4 + 400 + 1 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (34442414400113) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26720258782 + ... + 26720260070.

It is an arithmetic number, because the mean of its divisors is an integer number (146864456640).

Almost surely, 2^{34442414400114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442414400114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46996626124800).

34442414400114 is an abundant number, since it is smaller than the sum of its proper divisors (59550837849486).

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

34442414400114 is a wasteful number, since it uses less digits than its factorization.

34442414400114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 34442414400114 its reverse (41100441424443), we get a palindrome (75542855824557).

The spelling of 34442414400114 in words is "thirty-four trillion, four hundred forty-two billion, four hundred fourteen million, four hundred thousand, one hundred fourteen".