4872040000 has 105 divisors (see below), whose sum is σ = 12115791237. Its totient is φ = 1943232000.

The previous prime is 4872039961. The next prime is 4872040001. The reversal of 4872040000 is 402784.

The square root of 4872040000 is 69800.

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 2632100416 + 2239939584 = 51304^2 + 47328^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4872040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13959826 + ... + 13960174.

Almost surely, 2^4872040000 is an apocalyptic number.

4872040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4872040000 is the 69800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872040000

4872040000 is an abundant number, since it is smaller than the sum of its proper divisors (7243751237).

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

4872040000 is an frugal number, since it uses more digits than its factorization.

4872040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The cubic root of 4872040000 is about 1695.2624730224.

Multiplying 4872040000 by its sum of digits (25), we get a square (121801000000 = 349000²).

4872040000 divided by its sum of digits (25) gives a square (194881600 = 13960²).

Adding to 4872040000 its reverse (402784), we get a palindrome (4872442784).

The spelling of 4872040000 in words is "four billion, eight hundred seventy-two million, forty thousand".