4032250000 has 105 divisors (see below), whose sum is σ = 9842979477. Its totient is φ = 1600200000.

The previous prime is 4032249959. The next prime is 4032250003. The reversal of 4032250000 is 522304.

The square root of 4032250000 is 63500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 3532638096 + 499611904 = 59436^2 + 22352^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4032250003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31749937 + ... + 31750063.

Almost surely, 2^4032250000 is an apocalyptic number.

4032250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4032250000 is the 63500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032250000

4032250000 is an abundant number, since it is smaller than the sum of its proper divisors (5810729477).

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

4032250000 is an frugal number, since it uses more digits than its factorization.

4032250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The cubic root of 4032250000 is about 1591.6557781236.

Multiplying 4032250000 by its sum of digits (16), we get a square (64516000000 = 254000²).

4032250000 divided by its sum of digits (16) gives a square (252015625 = 15875²).

Adding to 4032250000 its reverse (522304), we get a palindrome (4032772304).

The spelling of 4032250000 in words is "four billion, thirty-two million, two hundred fifty thousand".