4672125480100 has 135 divisors (see below), whose sum is σ = 10991952906837. Its totient is φ = 1723743702720.

The previous prime is 4672125480073. The next prime is 4672125480109. The reversal of 4672125480100 is 10845212764.

The square root of 4672125480100 is 2161510.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4584077974116 + 88047505984 = 2141046^2 + 296728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4672125480109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3652951261 + ... + 3652952539.

Almost surely, 2^{4672125480100} is an apocalyptic number.

4672125480100 is the 2161510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672125480100

4672125480100 is an abundant number, since it is smaller than the sum of its proper divisors (6319827426737).

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

4672125480100 is an frugal number, since it uses more digits than its factorization.

4672125480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 4672125480100 in words is "four trillion, six hundred seventy-two billion, one hundred twenty-five million, four hundred eighty thousand, one hundred".