4354300005000 has 640 divisors, whose sum is σ = 15146201664000. Its totient is φ = 1033903360000.

The previous prime is 4354300004963. The next prime is 4354300005071. The reversal of 4354300005000 is 5000034534.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3378044356 + ... + 3378045644.

It is an arithmetic number, because the mean of its divisors is an integer number (23665940100).

Almost surely, 2^{4354300005000} is an apocalyptic number.

4354300005000 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 4354300005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573100832000).

4354300005000 is an abundant number, since it is smaller than the sum of its proper divisors (10791901659000).

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

4354300005000 is a wasteful number, since it uses less digits than its factorization.

4354300005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 4354300005000 its reverse (5000034534), we get a palindrome (4359300039534).

The spelling of 4354300005000 in words is "four trillion, three hundred fifty-four billion, three hundred million, five thousand".