4215414050400 has 288 divisors, whose sum is σ = 16187191953408. Its totient is φ = 932441702400.

The previous prime is 4215414050381. The next prime is 4215414050413. The reversal of 4215414050400 is 40504145124.

4215414050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3526257 + ... + 4567856.

It is an arithmetic number, because the mean of its divisors is an integer number (56205527616).

Almost surely, 2^{4215414050400} is an apocalyptic number.

4215414050400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4215414050400 is an abundant number, since it is smaller than the sum of its proper divisors (11971777903008).

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

4215414050400 is a wasteful number, since it uses less digits than its factorization.

4215414050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094174 (or 8094161 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 4215414050400 its reverse (40504145124), we get a palindrome (4255918195524).

The spelling of 4215414050400 in words is "four trillion, two hundred fifteen billion, four hundred fourteen million, fifty thousand, four hundred".