4640509440 has 800 divisors, whose sum is σ = 19963722240. Its totient is φ = 1007271936.

The previous prime is 4640509411. The next prime is 4640509469. The reversal of 4640509440 is 449050464.

4640509440 is a `hidden beast` number, since 4 + 640 + 5 + 0 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4640509411) and next prime (4640509469).

It is a super-2 number, since 2×4640509440² = 43068655725458227200, 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 = 4640509395 and 4640509404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384891 + ... + 33385029.

Almost surely, 2^4640509440 is an apocalyptic number.

4640509440 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 4640509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981861120).

4640509440 is an abundant number, since it is smaller than the sum of its proper divisors (15323212800).

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

4640509440 is a wasteful number, since it uses less digits than its factorization.

4640509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4640509440 is about 68121.2847794285. The cubic root of 4640509440 is about 1667.9712225251.

The spelling of 4640509440 in words is "four billion, six hundred forty million, five hundred nine thousand, four hundred forty".