10303733344740 has 192 divisors, whose sum is σ = 31748072767488. Its totient is φ = 2476094745600.

The previous prime is 10303733344733. The next prime is 10303733344741. The reversal of 10303733344740 is 4744333730301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10303733344692 and 10303733344701.

It is not an unprimeable number, because it can be changed into a prime (10303733344741) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 99442560 + ... + 99546120.

It is an arithmetic number, because the mean of its divisors is an integer number (165354545664).

Almost surely, 2^{10303733344740} is an apocalyptic number.

10303733344740 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 10303733344740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874036383744).

10303733344740 is an abundant number, since it is smaller than the sum of its proper divisors (21444339422748).

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

10303733344740 is a wasteful number, since it uses less digits than its factorization.

10303733344740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104898 (or 104896 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 42.

The spelling of 10303733344740 in words is "ten trillion, three hundred three billion, seven hundred thirty-three million, three hundred forty-four thousand, seven hundred forty".