340248275472400 has 45 divisors (see below), whose sum is σ = 817447368145053. Its totient is φ = 136099162622400.

The previous prime is 340248275472337. The next prime is 340248275472403. The reversal of 340248275472400 is 4274572842043.

The square root of 340248275472400 is 18445820.

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

It can be written as a sum of positive squares in only one way, i.e., 122489379170064 + 217758896302336 = 11067492^2 + 14756656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340248275472403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368455255 + ... + 369377545.

Almost surely, 2^{340248275472400} is an apocalyptic number.

340248275472400 is the 18445820-th square number.

It is an amenable number.

340248275472400 is an abundant number, since it is smaller than the sum of its proper divisors (477199092672653).

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

340248275472400 is an frugal number, since it uses more digits than its factorization.

340248275472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844600 (or 922298 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 52.

The spelling of 340248275472400 in words is "three hundred forty trillion, two hundred forty-eight billion, two hundred seventy-five million, four hundred seventy-two thousand, four hundred".