30973899776400 has 1125 divisors, whose sum is σ = 129888108781233. Its totient is φ = 7068528633600.

The previous prime is 30973899776387. The next prime is 30973899776419. The reversal of 30973899776400 is 467799837903.

The square root of 30973899776400 is 5565420.

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

30973899776400 is a `hidden beast` number, since 3 + 0 + 9 + 73 + 89 + 9 + 7 + 76 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11150603919504 + 19823295856896 = 3339252^2 + 4452336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 224 ways as a sum of consecutive naturals, for example, 49087004085 + ... + 49087004715.

Almost surely, 2^{30973899776400} is an apocalyptic number.

30973899776400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30973899776400 is the 5565420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30973899776400

30973899776400 is an abundant number, since it is smaller than the sum of its proper divisors (98914209004833).

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

30973899776400 is an frugal number, since it uses more digits than its factorization.

30973899776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 30973899776400 in words is "thirty trillion, nine hundred seventy-three billion, eight hundred ninety-nine million, seven hundred seventy-six thousand, four hundred".