389435127056640 has 3456 divisors, whose sum is σ = 1733545323417600. Its totient is φ = 80865224294400.

The previous prime is 389435127056629. The next prime is 389435127056653. The reversal of 389435127056640 is 46650721534983.

389435127056640 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 3 + 5 + 1 + 27 + 0 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 578655463344 + ... + 578655464016.

It is an arithmetic number, because the mean of its divisors is an integer number (501604549600).

It is a 1-persistent number, because it is pandigital, but 2⋅389435127056640 = 778870254113280 is not.

Almost surely, 2^{389435127056640} is an apocalyptic number.

389435127056640 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 389435127056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866772661708800).

389435127056640 is an abundant number, since it is smaller than the sum of its proper divisors (1344110196360960).

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

389435127056640 is a wasteful number, since it uses less digits than its factorization.

389435127056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 389435127056640 in words is "three hundred eighty-nine trillion, four hundred thirty-five billion, one hundred twenty-seven million, fifty-six thousand, six hundred forty".