9680312142400 has 63 divisors (see below), whose sum is σ = 23819924301001. Its totient is φ = 3872075075840.

The previous prime is 9680312142379. The next prime is 9680312142407. The reversal of 9680312142400 is 42412130869.

The square root of 9680312142400 is 3111320.

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., 3484912371264 + 6195399771136 = 1866792^2 + 2489056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9680312142407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 124413909 + ... + 124491691.

Almost surely, 2^{9680312142400} is an apocalyptic number.

9680312142400 is the 3111320-th square number.

It is an amenable number.

9680312142400 is an abundant number, since it is smaller than the sum of its proper divisors (14139612158601).

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

9680312142400 is an frugal number, since it uses more digits than its factorization.

9680312142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155588 (or 77790 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 9680312142400 in words is "nine trillion, six hundred eighty billion, three hundred twelve million, one hundred forty-two thousand, four hundred".