481131705600 has 3240 divisors, whose sum is σ = 2349427627008. Its totient is φ = 96148684800.

The previous prime is 481131705599. The next prime is 481131705617. The reversal of 481131705600 is 6507131184.

481131705600 is a `hidden beast` number, since 4 + 8 + 11 + 31 + 7 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 10236844777 + ... + 10236844823.

Almost surely, 2^481131705600 is an apocalyptic number.

481131705600 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 481131705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174713813504).

481131705600 is an abundant number, since it is smaller than the sum of its proper divisors (1868295921408).

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

481131705600 is a wasteful number, since it uses less digits than its factorization.

481131705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 481131705600 its reverse (6507131184), we get a palindrome (487638836784).

The spelling of 481131705600 in words is "four hundred eighty-one billion, one hundred thirty-one million, seven hundred five thousand, six hundred".