4032420000 has 240 divisors, whose sum is σ = 15118310592. Its totient is φ = 921600000.

The previous prime is 4032419981. The next prime is 4032420031. The reversal of 4032420000 is 242304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4032420000² = 32520822112800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415200 + ... + 424800.

Almost surely, 2^4032420000 is an apocalyptic number.

4032420000 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 4032420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559155296).

4032420000 is an abundant number, since it is smaller than the sum of its proper divisors (11085890592).

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

4032420000 is an equidigital number, since it uses as much as digits as its factorization.

4032420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4032420000 is about 63501.3385685688. The cubic root of 4032420000 is about 1591.6781459232.

Adding to 4032420000 its reverse (242304), we get a palindrome (4032662304).

The spelling of 4032420000 in words is "four billion, thirty-two million, four hundred twenty thousand".