4314545122400 has 36 divisors (see below), whose sum is σ = 10532883282012. Its totient is φ = 1725818048640.

The previous prime is 4314545122343. The next prime is 4314545122403. The reversal of 4314545122400 is 42215454134.

It is a happy number.

It is a super-2 number, since 2×4314545122400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314545122403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2696589902 + ... + 2696591501.

It is an arithmetic number, because the mean of its divisors is an integer number (292580091167).

Almost surely, 2^{4314545122400} is an apocalyptic number.

4314545122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314545122400 is an abundant number, since it is smaller than the sum of its proper divisors (6218338159612).

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

4314545122400 is a wasteful number, since it uses less digits than its factorization.

4314545122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393181423 (or 5393181410 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 4314545122400 in words is "four trillion, three hundred fourteen billion, five hundred forty-five million, one hundred twenty-two thousand, four hundred".