4601121408 has 224 divisors, whose sum is σ = 14804225940. Its totient is φ = 1415356416.

The previous prime is 4601121403. The next prime is 4601121433. The reversal of 4601121408 is 8041211064.

It is a happy number.

4601121408 is a `hidden beast` number, since 4 + 601 + 12 + 1 + 40 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4005370944 + 595750464 = 63288^2 + 24408^2 .

It is a super-2 number, since 2×4601121408² = 42340636422311804928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4601121403) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1211160 + ... + 1214952.

Almost surely, 2^4601121408 is an apocalyptic number.

4601121408 is a gapful number since it is divisible by the number (48) 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 4601121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402112970).

4601121408 is an abundant number, since it is smaller than the sum of its proper divisors (10203104532).

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

4601121408 is an equidigital number, since it uses as much as digits as its factorization.

4601121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4601121408 is about 67831.5664569233. The cubic root of 4601121408 is about 1663.2386340607.

The spelling of 4601121408 in words is "four billion, six hundred one million, one hundred twenty-one thousand, four hundred eight".