724201000000 has 441 divisors, whose sum is σ = 1929956097027. Its totient is φ = 269596800000.

The previous prime is 724200999989. The next prime is 724201000013. The reversal of 724201000000 is 102427.

The square root of 724201000000 is 851000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 723574799424 + 626200576 = 850632^2 + 25024^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19572999982 + ... + 19573000018.

Almost surely, 2^724201000000 is an apocalyptic number.

724201000000 is the 851000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724201000000

724201000000 is an abundant number, since it is smaller than the sum of its proper divisors (1205755097027).

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

724201000000 is an frugal number, since it uses more digits than its factorization.

724201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

Multiplying 724201000000 by its sum of digits (16), we get a square (11587216000000 = 3404000²).

724201000000 divided by its sum of digits (16) gives a square (45262562500 = 212750²).

Adding to 724201000000 its reverse (102427), we get a palindrome (724201102427).

The spelling of 724201000000 in words is "seven hundred twenty-four billion, two hundred one million", and thus it is an aban number.