4644541440 has 1188 divisors, whose sum is σ = 21787703028. Its totient is φ = 908328960.

The previous prime is 4644541411. The next prime is 4644541453. The reversal of 4644541440 is 441454464.

4644541440 is a `hidden beast` number, since 4 + 64 + 454 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2677441536 + 1967099904 = 51744^2 + 44352^2 .

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 = 4644541395 and 4644541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 273208312 + ... + 273208328.

Almost surely, 2^4644541440 is an apocalyptic number.

4644541440 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 4644541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893851514).

4644541440 is an abundant number, since it is smaller than the sum of its proper divisors (17143161588).

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

4644541440 is a wasteful number, since it uses less digits than its factorization.

4644541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4644541440 is about 68150.8726283090. The cubic root of 4644541440 is about 1668.4541661331.

The spelling of 4644541440 in words is "four billion, six hundred forty-four million, five hundred forty-one thousand, four hundred forty".