1010933724304 has 135 divisors (see below), whose sum is σ = 2303421218091. Its totient is φ = 428563860480.

The previous prime is 1010933724263. The next prime is 1010933724391. The reversal of 1010933724304 is 4034273390101.

The square root of 1010933724304 is 1005452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29566114704 + 981367609600 = 171948^2 + 990640^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4194745624 + ... + 4194745864.

Almost surely, 2^{1010933724304} is an apocalyptic number.

1010933724304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1010933724304 is the 1005452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010933724304

1010933724304 is an abundant number, since it is smaller than the sum of its proper divisors (1292487493787).

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

1010933724304 is an frugal number, since it uses more digits than its factorization.

1010933724304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 1010933724304 in words is "one trillion, ten billion, nine hundred thirty-three million, seven hundred twenty-four thousand, three hundred four".