4661005440 has 768 divisors, whose sum is σ = 19300619520. Its totient is φ = 947552256.

The previous prime is 4661005429. The next prime is 4661005471. The reversal of 4661005440 is 445001664.

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

It is a junction number, because it is equal to n+sod(n) for n = 4661005398 and 4661005407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45252429 + ... + 45252531.

It is an arithmetic number, because the mean of its divisors is an integer number (25131015).

Almost surely, 2^4661005440 is an apocalyptic number.

4661005440 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 4661005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650309760).

4661005440 is an abundant number, since it is smaller than the sum of its proper divisors (14639614080).

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

4661005440 is a wasteful number, since it uses less digits than its factorization.

4661005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4661005440 is about 68271.5565957010. The cubic root of 4661005440 is about 1670.4232902171.

The spelling of 4661005440 in words is "four billion, six hundred sixty-one million, five thousand, four hundred forty".