10350540140800 has 432 divisors, whose sum is σ = 27416579851584. Its totient is φ = 3855155200000.

The previous prime is 10350540140789. The next prime is 10350540140803. The reversal of 10350540140800 is 804104505301.

It is not an unprimeable number, because it can be changed into a prime (10350540140803) 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 47 ways as a sum of consecutive naturals, for example, 5715371895 + ... + 5715373705.

It is an arithmetic number, because the mean of its divisors is an integer number (63464305212).

Almost surely, 2^{10350540140800} is an apocalyptic number.

10350540140800 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 10350540140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708289925792).

10350540140800 is an abundant number, since it is smaller than the sum of its proper divisors (17066039710784).

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

10350540140800 is a wasteful number, since it uses less digits than its factorization.

10350540140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 10350540140800 in words is "ten trillion, three hundred fifty billion, five hundred forty million, one hundred forty thousand, eight hundred".