4608901440 has 1008 divisors, whose sum is σ = 20290023936. Its totient is φ = 945561600.

The previous prime is 4608901417. The next prime is 4608901463. The reversal of 4608901440 is 441098064.

It is a happy number.

4608901440 is a `hidden beast` number, since 4 + 608 + 9 + 0 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4608901417) and next prime (4608901463).

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 = 4608901395 and 4608901404.

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 143 ways as a sum of consecutive naturals, for example, 148674225 + ... + 148674255.

It is an arithmetic number, because the mean of its divisors is an integer number (20128992).

Almost surely, 2^4608901440 is an apocalyptic number.

4608901440 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 4608901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145011968).

4608901440 is an abundant number, since it is smaller than the sum of its proper divisors (15681122496).

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

4608901440 is a wasteful number, since it uses less digits than its factorization.

4608901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4608901440 is about 67888.8904018912. The cubic root of 4608901440 is about 1664.1755624059.

The spelling of 4608901440 in words is "four billion, six hundred eight million, nine hundred one thousand, four hundred forty".