10409701323000 has 1024 divisors, whose sum is σ = 40501992960000. Its totient is φ = 2172751257600.

The previous prime is 10409701322959. The next prime is 10409701323023. The reversal of 10409701323000 is 32310790401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1609163766 + ... + 1609170234.

It is an arithmetic number, because the mean of its divisors is an integer number (39552727500).

Almost surely, 2^{10409701323000} is an apocalyptic number.

10409701323000 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 10409701323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250996480000).

10409701323000 is an abundant number, since it is smaller than the sum of its proper divisors (30092291637000).

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

10409701323000 is a wasteful number, since it uses less digits than its factorization.

10409701323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 10409701323000 in words is "ten trillion, four hundred nine billion, seven hundred one million, three hundred twenty-three thousand".