4116554640 has 240 divisors, whose sum is σ = 15602483520. Its totient is φ = 963486720.

The previous prime is 4116554597. The next prime is 4116554657. The reversal of 4116554640 is 464556114.

4116554640 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 5 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4116554595 and 4116554604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220719 + ... + 238641.

It is an arithmetic number, because the mean of its divisors is an integer number (65010348).

Almost surely, 2^4116554640 is an apocalyptic number.

4116554640 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 4116554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801241760).

4116554640 is an abundant number, since it is smaller than the sum of its proper divisors (11485928880).

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

4116554640 is a wasteful number, since it uses less digits than its factorization.

4116554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17982 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4116554640 is about 64160.3821684379. The cubic root of 4116554640 is about 1602.6719209569.

The spelling of 4116554640 in words is "four billion, one hundred sixteen million, five hundred fifty-four thousand, six hundred forty".