4522937958400 has 135 divisors (see below), whose sum is σ = 11219920267381. Its totient is φ = 1808630743040.

The previous prime is 4522937958379. The next prime is 4522937958421. The reversal of 4522937958400 is 48597392254.

The square root of 4522937958400 is 2126720.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4522937958379) and next prime (4522937958421).

It can be written as a sum of positive squares in only one way, i.e., 1628257665024 + 2894680293376 = 1276032^2 + 1701376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1361099139 + ... + 1361102461.

Almost surely, 2^{4522937958400} is an apocalyptic number.

4522937958400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4522937958400 is the 2126720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522937958400

4522937958400 is an abundant number, since it is smaller than the sum of its proper divisors (6696982308981).

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

4522937958400 is an frugal number, since it uses more digits than its factorization.

4522937958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 4522937958400 in words is "four trillion, five hundred twenty-two billion, nine hundred thirty-seven million, nine hundred fifty-eight thousand, four hundred".