4644042480 has 480 divisors, whose sum is σ = 19586032128. Its totient is φ = 958003200.

The previous prime is 4644042449. The next prime is 4644042509. The reversal of 4644042480 is 842404464.

4644042480 is a `hidden beast` number, since 4 + 6 + 4 + 404 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11697642 + ... + 11698038.

Almost surely, 2^4644042480 is an apocalyptic number.

4644042480 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 4644042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9793016064).

4644042480 is an abundant number, since it is smaller than the sum of its proper divisors (14941989648).

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

4644042480 is a wasteful number, since it uses less digits than its factorization.

4644042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4644042480 is about 68147.2118285114. The cubic root of 4644042480 is about 1668.3944170194.

The spelling of 4644042480 in words is "four billion, six hundred forty-four million, forty-two thousand, four hundred eighty".