4345285909800 has 576 divisors, whose sum is σ = 15197614165440. Its totient is φ = 1025858662400.

The previous prime is 4345285909781. The next prime is 4345285909841. The reversal of 4345285909800 is 89095825434.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 527144479 + ... + 527152721.

It is an arithmetic number, because the mean of its divisors is an integer number (26384746815).

Almost surely, 2^{4345285909800} is an apocalyptic number.

4345285909800 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 4345285909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598807082720).

4345285909800 is an abundant number, since it is smaller than the sum of its proper divisors (10852328255640).

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

4345285909800 is a wasteful number, since it uses less digits than its factorization.

4345285909800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 4345285909800 in words is "four trillion, three hundred forty-five billion, two hundred eighty-five million, nine hundred nine thousand, eight hundred".