4656055140 has 144 divisors (see below), whose sum is σ = 16077350016. Its totient is φ = 1079654400.

The previous prime is 4656055139. The next prime is 4656055147. The reversal of 4656055140 is 415506564.

4656055140 is a `hidden beast` number, since 4 + 6 + 5 + 60 + 551 + 40 = 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 = 4656055095 and 4656055104.

It is not an unprimeable number, because it can be changed into a prime (4656055147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5581 + ... + 96660.

It is an arithmetic number, because the mean of its divisors is an integer number (111648264).

Almost surely, 2^4656055140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038675008).

4656055140 is an abundant number, since it is smaller than the sum of its proper divisors (11421294876).

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

4656055140 is a wasteful number, since it uses less digits than its factorization.

4656055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102290 (or 102285 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4656055140 is about 68235.2924812373. The cubic root of 4656055140 is about 1669.8317135932.

The spelling of 4656055140 in words is "four billion, six hundred fifty-six million, fifty-five thousand, one hundred forty".