9812430950400 has 1053 divisors, whose sum is σ = 38209749465927. Its totient is φ = 2405744640000.

The previous prime is 9812430950381. The next prime is 9812430950419. The reversal of 9812430950400 is 40590342189.

The square root of 9812430950400 is 3132480.

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

9812430950400 is a `hidden beast` number, since 9 + 8 + 124 + 30 + 95 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (9812430950381) and next prime (9812430950419).

It can be written as a sum of positive squares in 4 ways, for example, as 2529168592896 + 7283262357504 = 1590336^2 + 2698752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39093350275 + ... + 39093350525.

Almost surely, 2^{9812430950400} is an apocalyptic number.

9812430950400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9812430950400 is the 3132480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9812430950400

9812430950400 is an abundant number, since it is smaller than the sum of its proper divisors (28397318515527).

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

9812430950400 is a wasteful number, since it uses less digits than its factorization.

9812430950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 9812430950400 in words is "nine trillion, eight hundred twelve billion, four hundred thirty million, nine hundred fifty thousand, four hundred".