10432320413004 has 288 divisors, whose sum is σ = 31325152674816. Its totient is φ = 2865557882880.

The previous prime is 10432320412973. The next prime is 10432320413017. The reversal of 10432320413004 is 40031402323401.

10432320413004 is a `hidden beast` number, since 1 + 0 + 4 + 32 + 320 + 4 + 1 + 300 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 474681664 + ... + 474703640.

It is an arithmetic number, because the mean of its divisors is an integer number (108767891232).

Almost surely, 2^{10432320413004} is an apocalyptic number.

10432320413004 is a gapful number since it is divisible by the number (14) 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 10432320413004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662576337408).

10432320413004 is an abundant number, since it is smaller than the sum of its proper divisors (20892832261812).

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

10432320413004 is a wasteful number, since it uses less digits than its factorization.

10432320413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10432320413004 its reverse (40031402323401), we get a palindrome (50463722736405).

The spelling of 10432320413004 in words is "ten trillion, four hundred thirty-two billion, three hundred twenty million, four hundred thirteen thousand, four".