4020442000 has 40 divisors (see below), whose sum is σ = 9721433592. Its totient is φ = 1608176000.

The previous prime is 4020441991. The next prime is 4020442031. The reversal of 4020442000 is 2440204.

4020442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 521482896 + 3498959104 = 22836^2 + 59152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003111 + ... + 1007110.

Almost surely, 2^4020442000 is an apocalyptic number.

4020442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020442000 is an abundant number, since it is smaller than the sum of its proper divisors (5700991592).

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

4020442000 is a wasteful number, since it uses less digits than its factorization.

4020442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010244 (or 2010228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4020442000 is about 63406.9554544294. The cubic root of 4020442000 is about 1590.1005961959.

Adding to 4020442000 its reverse (2440204), we get a palindrome (4022882204).

The spelling of 4020442000 in words is "four billion, twenty million, four hundred forty-two thousand".