4393885630464 has 864 divisors, whose sum is σ = 14816238474240. Its totient is φ = 1284636672000.

The previous prime is 4393885630457. The next prime is 4393885630481. The reversal of 4393885630464 is 4640365883934.

4393885630464 is a `hidden beast` number, since 4 + 3 + 9 + 3 + 8 + 8 + 563 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a zygodrome in base 2.

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, 13274578779 + ... + 13274579109.

It is an arithmetic number, because the mean of its divisors is an integer number (17148424160).

Almost surely, 2^{4393885630464} is an apocalyptic number.

4393885630464 is a gapful number since it is divisible by the number (44) 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 4393885630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408119237120).

4393885630464 is an abundant number, since it is smaller than the sum of its proper divisors (10422352843776).

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

4393885630464 is an equidigital number, since it uses as much as digits as its factorization.

4393885630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 4393885630464 in words is "four trillion, three hundred ninety-three billion, eight hundred eighty-five million, six hundred thirty thousand, four hundred sixty-four".