4345350222400 has 168 divisors, whose sum is σ = 11669016661920. Its totient is φ = 1579488768000.

The previous prime is 4345350222391. The next prime is 4345350222401. The reversal of 4345350222400 is 42220535434.

It is not an unprimeable number, because it can be changed into a prime (4345350222401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44637780 + ... + 44735020.

Almost surely, 2^{4345350222400} is an apocalyptic number.

4345350222400 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 4345350222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834508330960).

4345350222400 is an abundant number, since it is smaller than the sum of its proper divisors (7323666439520).

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

4345350222400 is a wasteful number, since it uses less digits than its factorization.

4345350222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99813 (or 99798 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 4345350222400 its reverse (42220535434), we get a palindrome (4387570757834).

The spelling of 4345350222400 in words is "four trillion, three hundred forty-five billion, three hundred fifty million, two hundred twenty-two thousand, four hundred".