4659107040 has 1152 divisors, whose sum is σ = 21398307840. Its totient is φ = 931627008.

The previous prime is 4659107003. The next prime is 4659107083. The reversal of 4659107040 is 407019564.

4659107040 is a `hidden beast` number, since 465 + 91 + 0 + 70 + 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 = 4659106986 and 4659107004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87907654 + ... + 87907706.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^4659107040 is an apocalyptic number.

4659107040 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 4659107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699153920).

4659107040 is an abundant number, since it is smaller than the sum of its proper divisors (16739200800).

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

4659107040 is a wasteful number, since it uses less digits than its factorization.

4659107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4659107040 is about 68257.6518787454. The cubic root of 4659107040 is about 1670.1964749058.

The spelling of 4659107040 in words is "four billion, six hundred fifty-nine million, one hundred seven thousand, forty".