4116977280 has 640 divisors, whose sum is σ = 16328466000. Its totient is φ = 982056960.

The previous prime is 4116977243. The next prime is 4116977303. The reversal of 4116977280 is 827796114.

It is a happy number.

4116977280 is a `hidden beast` number, since 411 + 6 + 97 + 72 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1498176 + 4115479104 = 1224^2 + 64152^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 27630646 + ... + 27630794.

Almost surely, 2^4116977280 is an apocalyptic number.

4116977280 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 4116977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164233000).

4116977280 is an abundant number, since it is smaller than the sum of its proper divisors (12211488720).

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

4116977280 is a wasteful number, since it uses less digits than its factorization.

4116977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4116977280 is about 64163.6757051838. The cubic root of 4116977280 is about 1602.7267669904.

The spelling of 4116977280 in words is "four billion, one hundred sixteen million, nine hundred seventy-seven thousand, two hundred eighty".