384147635040 has 288 divisors, whose sum is σ = 1413269073216. Its totient is φ = 94457180160.

The previous prime is 384147635021. The next prime is 384147635051. The reversal of 384147635040 is 40536741483.

384147635040 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 4 + 7 + 635 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18091630 + ... + 18112850.

It is an arithmetic number, because the mean of its divisors is an integer number (4907184282).

Almost surely, 2^384147635040 is an apocalyptic number.

384147635040 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 384147635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706634536608).

384147635040 is an abundant number, since it is smaller than the sum of its proper divisors (1029121438176).

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

384147635040 is a wasteful number, since it uses less digits than its factorization.

384147635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22222 (or 22211 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 384147635040 in words is "three hundred eighty-four billion, one hundred forty-seven million, six hundred thirty-five thousand, forty".