326406542400 has 735 divisors, whose sum is σ = 1258931234101. Its totient is φ = 83257320960.

The previous prime is 326406542387. The next prime is 326406542417. The reversal of 326406542400 is 4245604623.

The square root of 326406542400 is 571320.

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

326406542400 is a `hidden beast` number, since 3 + 2 + 6 + 406 + 5 + 4 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117506355264 + 208900187136 = 342792^2 + 457056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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 104 ways as a sum of consecutive naturals, for example, 14191588789 + ... + 14191588811.

Almost surely, 2^326406542400 is an apocalyptic number.

326406542400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

326406542400 is the 571320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326406542400

326406542400 is an abundant number, since it is smaller than the sum of its proper divisors (932524691701).

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

326406542400 is an frugal number, since it uses more digits than its factorization.

326406542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 326406542400 by its sum of digits (36), we get a square (11750635526400 = 3427920²).

326406542400 divided by its sum of digits (36) gives a square (9066848400 = 95220²).

The spelling of 326406542400 in words is "three hundred twenty-six billion, four hundred six million, five hundred forty-two thousand, four hundred".