4042121240400 has 60 divisors (see below), whose sum is σ = 12948261710592. Its totient is φ = 1077898997120.

The previous prime is 4042121240383. The next prime is 4042121240431. The reversal of 4042121240400 is 40421212404.

4042121240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1684215984 + ... + 1684218383.

Almost surely, 2^{4042121240400} is an apocalyptic number.

4042121240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042121240400 is an abundant number, since it is smaller than the sum of its proper divisors (8906140470192).

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

4042121240400 is a wasteful number, since it uses less digits than its factorization.

4042121240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368434388 (or 3368434377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042121240400 its reverse (40421212404), we get a palindrome (4082542452804).

4042121240400 divided by its reverse (40421212404) gives a square (100 = 10²).

The spelling of 4042121240400 in words is "four trillion, forty-two billion, one hundred twenty-one million, two hundred forty thousand, four hundred".