4795106040 has 160 divisors (see below), whose sum is σ = 16637132160. Its totient is φ = 1237420800.

The previous prime is 4795106039. The next prime is 4795106059. The reversal of 4795106040 is 406015974.

4795106040 is a `hidden beast` number, since 47 + 9 + 5 + 1 + 0 + 604 + 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 = 4795105986 and 4795106004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76570 + ... + 124310.

It is an arithmetic number, because the mean of its divisors is an integer number (103982076).

Almost surely, 2^4795106040 is an apocalyptic number.

4795106040 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 4795106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318566080).

4795106040 is an abundant number, since it is smaller than the sum of its proper divisors (11842026120).

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

4795106040 is a wasteful number, since it uses less digits than its factorization.

4795106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47795 (or 47782 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4795106040 is about 69246.7041814988. The cubic root of 4795106040 is about 1686.2918404141.

The spelling of 4795106040 in words is "four billion, seven hundred ninety-five million, one hundred six thousand, forty".