384651054858240 has 3840 divisors, whose sum is σ = 1615747585536000. Its totient is φ = 87482355941376.

The previous prime is 384651054858229. The next prime is 384651054858247. The reversal of 384651054858240 is 42858450156483.

It is a happy number.

384651054858240 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 5 + 1 + 0 + 5 + 4 + 8 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384651054858247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16723958906869 + ... + 16723958906891.

It is an arithmetic number, because the mean of its divisors is an integer number (420767600400).

Almost surely, 2^{384651054858240} is an apocalyptic number.

384651054858240 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 384651054858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807873792768000).

384651054858240 is an abundant number, since it is smaller than the sum of its proper divisors (1231096530677760).

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

384651054858240 is an frugal number, since it uses more digits than its factorization.

384651054858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 384651054858240 in words is "three hundred eighty-four trillion, six hundred fifty-one billion, fifty-four million, eight hundred fifty-eight thousand, two hundred forty".