10432413432320 has 160 divisors (see below), whose sum is σ = 27299807986176. Its totient is φ = 3791863398400.

The previous prime is 10432413432289. The next prime is 10432413432347. The reversal of 10432413432320 is 2323431423401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62065190 + ... + 62233050.

Almost surely, 2^{10432413432320} is an apocalyptic number.

10432413432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432413432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649903993088).

10432413432320 is an abundant number, since it is smaller than the sum of its proper divisors (16867394553856).

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

10432413432320 is a wasteful number, since it uses less digits than its factorization.

10432413432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170102 (or 170086 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 10432413432320 its reverse (2323431423401), we get a palindrome (12755844855721).

The spelling of 10432413432320 in words is "ten trillion, four hundred thirty-two billion, four hundred thirteen million, four hundred thirty-two thousand, three hundred twenty".