10432848340320 has 384 divisors, whose sum is σ = 38361374392320. Its totient is φ = 2334142863360.

The previous prime is 10432848340307. The next prime is 10432848340339. The reversal of 10432848340320 is 2304384823401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33002529 + ... + 33317151.

It is an arithmetic number, because the mean of its divisors is an integer number (99899412480).

Almost surely, 2^{10432848340320} is an apocalyptic number.

10432848340320 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 10432848340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180687196160).

10432848340320 is an abundant number, since it is smaller than the sum of its proper divisors (27928526052000).

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

10432848340320 is a wasteful number, since it uses less digits than its factorization.

10432848340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314858 (or 314850 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 10432848340320 in words is "ten trillion, four hundred thirty-two billion, eight hundred forty-eight million, three hundred forty thousand, three hundred twenty".