4032720000 has 320 divisors, whose sum is σ = 14880861600. Its totient is φ = 1074816000.

The previous prime is 4032719993. The next prime is 4032720007. The reversal of 4032720000 is 272304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4032719993) and next prime (4032720007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4032720007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159067 + ... + 2160933.

Almost surely, 2^4032720000 is an apocalyptic number.

4032720000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440430800).

4032720000 is an abundant number, since it is smaller than the sum of its proper divisors (10848141600).

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

4032720000 is an equidigital number, since it uses as much as digits as its factorization.

4032720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 4032720000 is about 63503.7006795667. The cubic root of 4032720000 is about 1591.7176169772.

Adding to 4032720000 its reverse (272304), we get a palindrome (4032992304).

The spelling of 4032720000 in words is "four billion, thirty-two million, seven hundred twenty thousand".