4661006040 has 96 divisors (see below), whose sum is σ = 15204898800. Its totient is φ = 1238288640.

The previous prime is 4661006039. The next prime is 4661006041. The reversal of 4661006040 is 406001664.

4661006040 is a `hidden beast` number, since 4 + 6 + 610 + 0 + 6 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4661006039) and next prime (4661006041).

It is a junction number, because it is equal to n+sod(n) for n = 4661005995 and 4661006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661006041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72775 + ... + 120905.

Almost surely, 2^4661006040 is an apocalyptic number.

4661006040 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 4661006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602449400).

4661006040 is an abundant number, since it is smaller than the sum of its proper divisors (10543892760).

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

4661006040 is a wasteful number, since it uses less digits than its factorization.

4661006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48417 (or 48410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4661006040 is about 68271.5609899173. The cubic root of 4661006040 is about 1670.4233618936.

The spelling of 4661006040 in words is "four billion, six hundred sixty-one million, six thousand, forty".