4334865348000 has 384 divisors, whose sum is σ = 15506346046464. Its totient is φ = 1049904768000.

The previous prime is 4334865347993. The next prime is 4334865348001. The reversal of 4334865348000 is 8435684334.

It is a super-2 number, since 2×4334865348000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4334865348001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148221379 + ... + 148250621.

It is an arithmetic number, because the mean of its divisors is an integer number (40381109496).

Almost surely, 2^{4334865348000} is an apocalyptic number.

4334865348000 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 4334865348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753173023232).

4334865348000 is an abundant number, since it is smaller than the sum of its proper divisors (11171480698464).

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

4334865348000 is a wasteful number, since it uses less digits than its factorization.

4334865348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30405 (or 30387 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 4334865348000 in words is "four trillion, three hundred thirty-four billion, eight hundred sixty-five million, three hundred forty-eight thousand".