30466867302400 has 351 divisors, whose sum is σ = 77401125777729. Its totient is φ = 11894954557440.

The previous prime is 30466867302337. The next prime is 30466867302413. The reversal of 30466867302400 is 420376866403.

The square root of 30466867302400 is 5519680.

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., 10968072228864 + 19498795073536 = 3311808^2 + 4415744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83015987017 + ... + 83015987383.

Almost surely, 2^{30466867302400} is an apocalyptic number.

30466867302400 is the 5519680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30466867302400

30466867302400 is an abundant number, since it is smaller than the sum of its proper divisors (46934258475329).

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

30466867302400 is an frugal number, since it uses more digits than its factorization.

30466867302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 30466867302400 in words is "thirty trillion, four hundred sixty-six billion, eight hundred sixty-seven million, three hundred two thousand, four hundred".