4565435040 has 144 divisors (see below), whose sum is σ = 15717979368. Its totient is φ = 1206632448.

The previous prime is 4565435033. The next prime is 4565435053. The reversal of 4565435040 is 405345654.

4565435040 is a `hidden beast` number, since 4 + 565 + 4 + 3 + 50 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2353802256 + 2211632784 = 48516^2 + 47028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4565434986 and 4565435004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148692 + ... + 176748.

Almost surely, 2^4565435040 is an apocalyptic number.

4565435040 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 4565435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858989684).

4565435040 is an abundant number, since it is smaller than the sum of its proper divisors (11152544328).

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

4565435040 is a wasteful number, since it uses less digits than its factorization.

4565435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28191 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4565435040 is about 67568.0030783802. The cubic root of 4565435040 is about 1658.9274341043.

The spelling of 4565435040 in words is "four billion, five hundred sixty-five million, four hundred thirty-five thousand, forty".