4700417040 has 560 divisors, whose sum is σ = 18970142976. Its totient is φ = 1069977600.

The previous prime is 4700417021. The next prime is 4700417069. The reversal of 4700417040 is 407140074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4700416995 and 4700417013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10905625 + ... + 10906055.

Almost surely, 2^4700417040 is an apocalyptic number.

4700417040 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 4700417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485071488).

4700417040 is an abundant number, since it is smaller than the sum of its proper divisors (14269725936).

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

4700417040 is a wasteful number, since it uses less digits than its factorization.

4700417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4700417040 is about 68559.5875133449. The cubic root of 4700417040 is about 1675.1182261542.

The spelling of 4700417040 in words is "four billion, seven hundred million, four hundred seventeen thousand, forty".