4657271040 has 288 divisors, whose sum is σ = 17501218560. Its totient is φ = 1168736256.

The previous prime is 4657271029. The next prime is 4657271041. The reversal of 4657271040 is 401727564.

4657271040 is a `hidden beast` number, since 46 + 572 + 7 + 1 + 0 + 40 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4657270986 and 4657271004.

It is not an unprimeable number, because it can be changed into a prime (4657271041) 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, 583557 + ... + 591483.

It is an arithmetic number, because the mean of its divisors is an integer number (60768120).

Almost surely, 2^4657271040 is an apocalyptic number.

4657271040 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 4657271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750609280).

4657271040 is an abundant number, since it is smaller than the sum of its proper divisors (12843947520).

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

4657271040 is a wasteful number, since it uses less digits than its factorization.

4657271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4657271040 is about 68244.2015119233. The cubic root of 4657271040 is about 1669.9770563499.

The spelling of 4657271040 in words is "four billion, six hundred fifty-seven million, two hundred seventy-one thousand, forty".