4615121280 has 1024 divisors, whose sum is σ = 20304691200. Its totient is φ = 862617600.

The previous prime is 4615121221. The next prime is 4615121317. The reversal of 4615121280 is 821215164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87077734 + ... + 87077786.

It is an arithmetic number, because the mean of its divisors is an integer number (19828800).

Almost surely, 2^4615121280 is an apocalyptic number.

4615121280 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 4615121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

4615121280 is an abundant number, since it is smaller than the sum of its proper divisors (15689569920).

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

4615121280 is a wasteful number, since it uses less digits than its factorization.

4615121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 4615121280 is about 67934.6839250762. The cubic root of 4615121280 is about 1664.9238428855.

The spelling of 4615121280 in words is "four billion, six hundred fifteen million, one hundred twenty-one thousand, two hundred eighty".