4671138240 has 224 divisors, whose sum is σ = 16830812160. Its totient is φ = 1219027968.

The previous prime is 4671138221. The next prime is 4671138247. The reversal of 4671138240 is 428311764.

4671138240 is a `hidden beast` number, since 467 + 113 + 82 + 4 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4671138195 and 4671138204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671138247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400329 + ... + 411831.

Almost surely, 2^4671138240 is an apocalyptic number.

4671138240 is a gapful number since it is divisible by the number (40) 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 4671138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415406080).

4671138240 is an abundant number, since it is smaller than the sum of its proper divisors (12159673920).

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

4671138240 is a wasteful number, since it uses less digits than its factorization.

4671138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4671138240 is about 68345.7258356366. The cubic root of 4671138240 is about 1671.6328872052.

The spelling of 4671138240 in words is "four billion, six hundred seventy-one million, one hundred thirty-eight thousand, two hundred forty".