384107423040 has 672 divisors, whose sum is σ = 1521751795200. Its totient is φ = 87947735040.

The previous prime is 384107423027. The next prime is 384107423047. The reversal of 384107423040 is 40324701483.

384107423040 is a `hidden beast` number, since 3 + 8 + 410 + 7 + 4 + 230 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384107422986 and 384107423004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384107423047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252203719 + ... + 252205241.

It is an arithmetic number, because the mean of its divisors is an integer number (2264511600).

Almost surely, 2^384107423040 is an apocalyptic number.

384107423040 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 384107423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760875897600).

384107423040 is an abundant number, since it is smaller than the sum of its proper divisors (1137644372160).

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

384107423040 is a wasteful number, since it uses less digits than its factorization.

384107423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 384107423040 in words is "three hundred eighty-four billion, one hundred seven million, four hundred twenty-three thousand, forty".