4142013244400 has 120 divisors (see below), whose sum is σ = 10101899520384. Its totient is φ = 1631723385600.

The previous prime is 4142013244393. The next prime is 4142013244409. The reversal of 4142013244400 is 44423102414.

4142013244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142013244409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148216829 + ... + 148244771.

Almost surely, 2^{4142013244400} is an apocalyptic number.

4142013244400 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 4142013244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050949760192).

4142013244400 is an abundant number, since it is smaller than the sum of its proper divisors (5959886275984).

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

4142013244400 is a wasteful number, since it uses less digits than its factorization.

4142013244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33559 (or 33548 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4142013244400 its reverse (44423102414), we get a palindrome (4186436346814).

The spelling of 4142013244400 in words is "four trillion, one hundred forty-two billion, thirteen million, two hundred forty-four thousand, four hundred".