384416585840 has 80 divisors (see below), whose sum is σ = 1021528903680. Its totient is φ = 131789763840.

The previous prime is 384416585807. The next prime is 384416585851. The reversal of 384416585840 is 48585614483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×384416585840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12348695 + ... + 12379785.

It is an arithmetic number, because the mean of its divisors is an integer number (12769111296).

Almost surely, 2^384416585840 is an apocalyptic number.

It is an amenable number.

384416585840 is an abundant number, since it is smaller than the sum of its proper divisors (637112317840).

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

384416585840 is a wasteful number, since it uses less digits than its factorization.

384416585840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53190 (or 53184 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 56.

The spelling of 384416585840 in words is "three hundred eighty-four billion, four hundred sixteen million, five hundred eighty-five thousand, eight hundred forty".