10214740624 has 45 divisors (see below), whose sum is σ = 21763284361. Its totient is φ = 4641042560.

The previous prime is 10214740621. The next prime is 10214740633. The reversal of 10214740624 is 42604741201.

The square root of 10214740624 is 101068.

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

It can be written as a sum of positive squares in only one way, i.e., 4802490000 + 5412250624 = 69300^2 + 73568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10214740621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4445844 + ... + 4448140.

Almost surely, 2^10214740624 is an apocalyptic number.

10214740624 is the 101068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214740624

10214740624 is an abundant number, since it is smaller than the sum of its proper divisors (11548543737).

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

10214740624 is an frugal number, since it uses more digits than its factorization.

10214740624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 10214740624 in words is "ten billion, two hundred fourteen million, seven hundred forty thousand, six hundred twenty-four".