4649009040 has 320 divisors, whose sum is σ = 18261331200. Its totient is φ = 1076944896.

The previous prime is 4649008981. The next prime is 4649009051. The reversal of 4649009040 is 409009464.

4649009040 is a `hidden beast` number, since 4 + 649 + 0 + 0 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×4649009040² = 43226570108003443200, which contains 22 as substring.

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 = 4649008986 and 4649009004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472491 + ... + 482229.

It is an arithmetic number, because the mean of its divisors is an integer number (57066660).

Almost surely, 2^4649009040 is an apocalyptic number.

4649009040 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 4649009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9130665600).

4649009040 is an abundant number, since it is smaller than the sum of its proper divisors (13612322160).

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

4649009040 is a wasteful number, since it uses less digits than its factorization.

4649009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4649009040 is about 68183.6420265154. The cubic root of 4649009040 is about 1668.9889585844.

The spelling of 4649009040 in words is "four billion, six hundred forty-nine million, nine thousand, forty".