10398656140320 has 192 divisors, whose sum is σ = 38348215347456. Its totient is φ = 2318864056320.

The previous prime is 10398656140319. The next prime is 10398656140333. The reversal of 10398656140320 is 2304165689301.

It is a super-2 number, since 2×10398656140320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10398656140320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37604169 + ... + 37879688.

It is an arithmetic number, because the mean of its divisors is an integer number (199730288268).

Almost surely, 2^{10398656140320} is an apocalyptic number.

10398656140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10398656140320 is an abundant number, since it is smaller than the sum of its proper divisors (27949559207136).

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

10398656140320 is a wasteful number, since it uses less digits than its factorization.

10398656140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75483923 (or 75483915 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 10398656140320 in words is "ten trillion, three hundred ninety-eight billion, six hundred fifty-six million, one hundred forty thousand, three hundred twenty".