481589821440 has 1536 divisors, whose sum is σ = 2132041242240. Its totient is φ = 97844723712.

The previous prime is 481589821411. The next prime is 481589821441. The reversal of 481589821440 is 44128985184.

481589821440 is a `hidden beast` number, since 4 + 8 + 1 + 589 + 8 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×481589821440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481589821441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4964843472 + ... + 4964843568.

Almost surely, 2^481589821440 is an apocalyptic number.

481589821440 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 481589821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066020621120).

481589821440 is an abundant number, since it is smaller than the sum of its proper divisors (1650451420800).

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

481589821440 is a wasteful number, since it uses less digits than its factorization.

481589821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 481589821440 in words is "four hundred eighty-one billion, five hundred eighty-nine million, eight hundred twenty-one thousand, four hundred forty".