4224202358400 has 576 divisors, whose sum is σ = 15666700183680. Its totient is φ = 1123894517760.

The previous prime is 4224202358353. The next prime is 4224202358401. The reversal of 4224202358400 is 48532024224.

4224202358400 is a `hidden beast` number, since 4 + 2 + 242 + 0 + 2 + 3 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4224202358401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355357257 + ... + 355369143.

Almost surely, 2^{4224202358400} is an apocalyptic number.

4224202358400 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 4224202358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833350091840).

4224202358400 is an abundant number, since it is smaller than the sum of its proper divisors (11442497825280).

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

4224202358400 is a wasteful number, since it uses less digits than its factorization.

4224202358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 4224202358400 in words is "four trillion, two hundred twenty-four billion, two hundred two million, three hundred fifty-eight thousand, four hundred".