4142002024400 has 30 divisors (see below), whose sum is σ = 9951159864582. Its totient is φ = 1656800809600.

The previous prime is 4142002024357. The next prime is 4142002024411. The reversal of 4142002024400 is 44202002414.

4142002024400 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 3 ways, for example, as 441549618064 + 3700452406336 = 664492^2 + 1923656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5177502131 + ... + 5177502930.

Almost surely, 2^{4142002024400} is an apocalyptic number.

4142002024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142002024400 is an abundant number, since it is smaller than the sum of its proper divisors (5809157840182).

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

4142002024400 is a wasteful number, since it uses less digits than its factorization.

4142002024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355005079 (or 10355005068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 4142002024400 its reverse (44202002414), we get a palindrome (4186204026814).

The spelling of 4142002024400 in words is "four trillion, one hundred forty-two billion, two million, twenty-four thousand, four hundred".