4564094040 has 640 divisors, whose sum is σ = 18366289920. Its totient is φ = 1007769600.

The previous prime is 4564094039. The next prime is 4564094077. The reversal of 4564094040 is 404904654.

4564094040 is a `hidden beast` number, since 4 + 5 + 640 + 9 + 4 + 0 + 4 + 0 = 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 = 4564093986 and 4564094004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147228825 + ... + 147228855.

It is an arithmetic number, because the mean of its divisors is an integer number (28697328).

Almost surely, 2^4564094040 is an apocalyptic number.

4564094040 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 4564094040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183144960).

4564094040 is an abundant number, since it is smaller than the sum of its proper divisors (13802195880).

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

4564094040 is a wasteful number, since it uses less digits than its factorization.

4564094040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

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

The square root of 4564094040 is about 67558.0790135421. The cubic root of 4564094040 is about 1658.7649932477.

Adding to 4564094040 its reverse (404904654), we get a palindrome (4968998694).

The spelling of 4564094040 in words is "four billion, five hundred sixty-four million, ninety-four thousand, forty".