4469384390400 has 432 divisors, whose sum is σ = 16399655042400. Its totient is φ = 1191044874240.

The previous prime is 4469384390389. The next prime is 4469384390407. The reversal of 4469384390400 is 40934839644.

4469384390400 is a `hidden beast` number, since 4 + 46 + 93 + 84 + 39 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4469384390400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4469384390407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288395452 + ... + 288410948.

It is an arithmetic number, because the mean of its divisors is an integer number (37962164450).

Almost surely, 2^{4469384390400} is an apocalyptic number.

4469384390400 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 4469384390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199827521200).

4469384390400 is an abundant number, since it is smaller than the sum of its proper divisors (11930270652000).

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

4469384390400 is a wasteful number, since it uses less digits than its factorization.

4469384390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4469384390400 in words is "four trillion, four hundred sixty-nine billion, three hundred eighty-four million, three hundred ninety thousand, four hundred".