4034340114000 has 320 divisors, whose sum is σ = 15116769607680. Its totient is φ = 906504921600.

The previous prime is 4034340113977. The next prime is 4034340114023. The reversal of 4034340114000 is 4110434304.

It is an interprime number because it is at equal distance from previous prime (4034340113977) and next prime (4034340114023).

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 63 ways as a sum of consecutive naturals, for example, 1663969 + ... + 3292031.

It is an arithmetic number, because the mean of its divisors is an integer number (47239905024).

Almost surely, 2^{4034340114000} is an apocalyptic number.

4034340114000 is a gapful number since it is divisible by the number (40) 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 4034340114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558384803840).

4034340114000 is an abundant number, since it is smaller than the sum of its proper divisors (11082429493680).

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

4034340114000 is a wasteful number, since it uses less digits than its factorization.

4034340114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628155 (or 1628139 counting only the distinct ones).

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

Adding to 4034340114000 its reverse (4110434304), we get a palindrome (4038450548304).

The spelling of 4034340114000 in words is "four trillion, thirty-four billion, three hundred forty million, one hundred fourteen thousand".