4116752640 has 1728 divisors, whose sum is σ = 21139211520. Its totient is φ = 743178240.

The previous prime is 4116752639. The next prime is 4116752669. The reversal of 4116752640 is 462576114.

4116752640 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 4116752595 and 4116752604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161912 + ... + 242161928.

It is an arithmetic number, because the mean of its divisors is an integer number (12233340).

Almost surely, 2^4116752640 is an apocalyptic number.

4116752640 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 4116752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569605760).

4116752640 is an abundant number, since it is smaller than the sum of its proper divisors (17022458880).

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

4116752640 is a wasteful number, since it uses less digits than its factorization.

4116752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4116752640 is about 64161.9251581497. The cubic root of 4116752640 is about 1602.6976159033.

The spelling of 4116752640 in words is "four billion, one hundred sixteen million, seven hundred fifty-two thousand, six hundred forty".