10345040332000 has 192 divisors, whose sum is σ = 27828605488320. Its totient is φ = 3748247808000.

The previous prime is 10345040331973. The next prime is 10345040332007. The reversal of 10345040332000 is 23304054301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345040332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11763606 + ... + 12612394.

It is an arithmetic number, because the mean of its divisors is an integer number (144940653585).

Almost surely, 2^{10345040332000} is an apocalyptic number.

10345040332000 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 10345040332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914302744160).

10345040332000 is an abundant number, since it is smaller than the sum of its proper divisors (17483565156320).

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

10345040332000 is a wasteful number, since it uses less digits than its factorization.

10345040332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849102 (or 849084 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 10345040332000 its reverse (23304054301), we get a palindrome (10368344386301).

The spelling of 10345040332000 in words is "ten trillion, three hundred forty-five billion, forty million, three hundred thirty-two thousand".