47341056400 has 405 divisors, whose sum is σ = 133798354977. Its totient is φ = 16083513600.

The previous prime is 47341056383. The next prime is 47341056403. The reversal of 47341056400 is 465014374.

The square root of 47341056400 is 217580.

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., 17042780304 + 30298276096 = 130548^2 + 174064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47341056403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1100954779 + ... + 1100954821.

Almost surely, 2^47341056400 is an apocalyptic number.

47341056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47341056400 is the 217580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47341056400

47341056400 is an abundant number, since it is smaller than the sum of its proper divisors (86457298577).

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

47341056400 is a wasteful number, since it uses less digits than its factorization.

47341056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 47341056400 in words is "forty-seven billion, three hundred forty-one million, fifty-six thousand, four hundred".