4116746340 has 288 divisors, whose sum is σ = 15095808000. Its totient is φ = 887106816.

The previous prime is 4116746323. The next prime is 4116746351. The reversal of 4116746340 is 436476114.

4116746340 is a `hidden beast` number, since 4 + 1 + 16 + 7 + 4 + 634 + 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 = 4116746295 and 4116746304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8594221 + ... + 8594699.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 2^4116746340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116746340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

4116746340 is an abundant number, since it is smaller than the sum of its proper divisors (10979061660).

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

4116746340 is a wasteful number, since it uses less digits than its factorization.

4116746340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4116746340 is about 64161.8760635940. The cubic root of 4116746340 is about 1602.6967983495.

The spelling of 4116746340 in words is "four billion, one hundred sixteen million, seven hundred forty-six thousand, three hundred forty".