384507796140 has 216 divisors, whose sum is σ = 1274558004720. Its totient is φ = 93778933248.

The previous prime is 384507796129. The next prime is 384507796157. The reversal of 384507796140 is 41697705483.

384507796140 is a `hidden beast` number, since 3 + 8 + 4 + 507 + 7 + 96 + 1 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3257799 + ... + 3373761.

Almost surely, 2^384507796140 is an apocalyptic number.

384507796140 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 384507796140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637279002360).

384507796140 is an abundant number, since it is smaller than the sum of its proper divisors (890050208580).

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

384507796140 is a wasteful number, since it uses less digits than its factorization.

384507796140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116113 (or 116095 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 384507796140 in words is "three hundred eighty-four billion, five hundred seven million, seven hundred ninety-six thousand, one hundred forty".