4314545302400 has 96 divisors (see below), whose sum is σ = 10661644690680. Its totient is φ = 1725272524800.

The previous prime is 4314545302363. The next prime is 4314545302447. The reversal of 4314545302400 is 42035454134.

4314545302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9986870 + ... + 10409930.

Almost surely, 2^{4314545302400} is an apocalyptic number.

4314545302400 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 4314545302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330822345340).

4314545302400 is an abundant number, since it is smaller than the sum of its proper divisors (6347099388280).

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

4314545302400 is a wasteful number, since it uses less digits than its factorization.

4314545302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426272 (or 426255 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 4314545302400 in words is "four trillion, three hundred fourteen billion, five hundred forty-five million, three hundred two thousand, four hundred".