4214364638400 has 1008 divisors, whose sum is σ = 18447927828480. Its totient is φ = 932195174400.

The previous prime is 4214364638387. The next prime is 4214364638417. The reversal of 4214364638400 is 48364634124.

4214364638400 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 3 + 6 + 4 + 638 + 4 + 0 + 0 = 666.

4214364638400 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 (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65588689 + ... + 65652911.

Almost surely, 2^{4214364638400} is an apocalyptic number.

4214364638400 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 4214364638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223963914240).

4214364638400 is an abundant number, since it is smaller than the sum of its proper divisors (14233563190080).

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

4214364638400 is a wasteful number, since it uses less digits than its factorization.

4214364638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64299 (or 64271 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4214364638400 in words is "four trillion, two hundred fourteen billion, three hundred sixty-four million, six hundred thirty-eight thousand, four hundred".