10432242400320 has 224 divisors, whose sum is σ = 39633605101440. Its totient is φ = 2567936563200.

The previous prime is 10432242400309. The next prime is 10432242400331. The reversal of 10432242400320 is 2300424223401.

10432242400320 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 224 + 2 + 400 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10432242400309) and next prime (10432242400331).

It is a super-2 number, since 2×10432242400320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 46327506 + ... + 46552145.

It is an arithmetic number, because the mean of its divisors is an integer number (176935737060).

Almost surely, 2^{10432242400320} is an apocalyptic number.

10432242400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432242400320 is an abundant number, since it is smaller than the sum of its proper divisors (29201362701120).

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

10432242400320 is a wasteful number, since it uses less digits than its factorization.

10432242400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92879690 (or 92879674 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10432242400320 its reverse (2300424223401), we get a palindrome (12732666623721).

The spelling of 10432242400320 in words is "ten trillion, four hundred thirty-two billion, two hundred forty-two million, four hundred thousand, three hundred twenty".