4461681420 has 384 divisors, whose sum is σ = 16377446400. Its totient is φ = 987427584.

The previous prime is 4461681401. The next prime is 4461681437. The reversal of 4461681420 is 241861644.

It is a happy number.

4461681420 is a `hidden beast` number, since 4 + 4 + 616 + 8 + 14 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20007429 + ... + 20007651.

It is an arithmetic number, because the mean of its divisors is an integer number (42649600).

Almost surely, 2^4461681420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461681420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188723200).

4461681420 is an abundant number, since it is smaller than the sum of its proper divisors (11915764980).

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

4461681420 is a wasteful number, since it uses less digits than its factorization.

4461681420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4461681420 is about 66795.8188811246. The cubic root of 4461681420 is about 1646.2641428624.

The spelling of 4461681420 in words is "four billion, four hundred sixty-one million, six hundred eighty-one thousand, four hundred twenty".