4495130640 has 1260 divisors, whose sum is σ = 21576829932. Its totient is φ = 862202880.

The previous prime is 4495130623. The next prime is 4495130657. The reversal of 4495130640 is 460315944.

4495130640 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 1 + 3 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4495130623) and next prime (4495130657).

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 3388636944 = 33264^2 + 58212^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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 = 4495130595 and 4495130604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 345779274 + ... + 345779286.

Almost surely, 2^4495130640 is an apocalyptic number.

4495130640 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 4495130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10788414966).

4495130640 is an abundant number, since it is smaller than the sum of its proper divisors (17081699292).

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

4495130640 is a wasteful number, since it uses less digits than its factorization.

4495130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4495130640 is about 67045.7354348507. The cubic root of 4495130640 is about 1650.3679179553.

The spelling of 4495130640 in words is "four billion, four hundred ninety-five million, one hundred thirty thousand, six hundred forty".