10420328408832 has 288 divisors, whose sum is σ = 31731373228800. Its totient is φ = 3370617556992.

The previous prime is 10420328408827. The next prime is 10420328408843. The reversal of 10420328408832 is 23880482302401.

10420328408832 is a `hidden beast` number, since 1 + 0 + 4 + 203 + 2 + 8 + 408 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10420328408832² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 96873223 + ... + 96980729.

Almost surely, 2^{10420328408832} is an apocalyptic number.

10420328408832 is a gapful number since it is divisible by the number (12) 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 10420328408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865686614400).

10420328408832 is an abundant number, since it is smaller than the sum of its proper divisors (21311044819968).

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

10420328408832 is a wasteful number, since it uses less digits than its factorization.

10420328408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107948 (or 107928 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10420328408832 in words is "ten trillion, four hundred twenty billion, three hundred twenty-eight million, four hundred eight thousand, eight hundred thirty-two".