4715807040 has 840 divisors, whose sum is σ = 20181173760. Its totient is φ = 1041610752.

The previous prime is 4715807029. The next prime is 4715807051. The reversal of 4715807040 is 407085174.

4715807040 is a `hidden beast` number, since 4 + 7 + 1 + 580 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4715807029) and next prime (4715807051).

It is a tau number, because it is divible by the number of its divisors (840).

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 = 4715806986 and 4715807004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59693721 + ... + 59693799.

Almost surely, 2^4715807040 is an apocalyptic number.

4715807040 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 4715807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090586880).

4715807040 is an abundant number, since it is smaller than the sum of its proper divisors (15465366720).

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

4715807040 is a wasteful number, since it uses less digits than its factorization.

4715807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4715807040 is about 68671.7339230633. The cubic root of 4715807040 is about 1676.9444459821.

The spelling of 4715807040 in words is "four billion, seven hundred fifteen million, eight hundred seven thousand, forty".