389417134464000 has 3168 divisors, whose sum is σ = 1558875615897600. Its totient is φ = 96912499507200.

The previous prime is 389417134463977. The next prime is 389417134464041. The reversal of 389417134464000 is 464431714983.

389417134464000 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 171 + 3 + 4 + 464 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×389417134464000² (a number of 30 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 887054975781 + ... + 887054976219.

It is an arithmetic number, because the mean of its divisors is an integer number (492069323200).

Almost surely, 2^{389417134464000} is an apocalyptic number.

389417134464000 is a gapful number since it is divisible by the number (30) 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 389417134464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779437807948800).

389417134464000 is an abundant number, since it is smaller than the sum of its proper divisors (1169458481433600).

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

389417134464000 is an equidigital number, since it uses as much as digits as its factorization.

389417134464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 389417134464000 in words is "three hundred eighty-nine trillion, four hundred seventeen billion, one hundred thirty-four million, four hundred sixty-four thousand".