4145242000 has 80 divisors (see below), whose sum is σ = 10122927984. Its totient is φ = 1641600000.

The previous prime is 4145241977. The next prime is 4145242021. The reversal of 4145242000 is 2425414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 232989696 + 3912252304 = 15264^2 + 62548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191740 + ... + 212260.

Almost surely, 2^4145242000 is an apocalyptic number.

4145242000 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 4145242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061463992).

4145242000 is an abundant number, since it is smaller than the sum of its proper divisors (5977685984).

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

4145242000 is a wasteful number, since it uses less digits than its factorization.

4145242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20645 (or 20629 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4145242000 is about 64383.5538006407. The cubic root of 4145242000 is about 1606.3861951567.

Adding to 4145242000 its reverse (2425414), we get a palindrome (4147667414).

The spelling of 4145242000 in words is "four billion, one hundred forty-five million, two hundred forty-two thousand".