481106841600 has 1404 divisors, whose sum is σ = 2045741959968. Its totient is φ = 97645363200.

The previous prime is 481106841493. The next prime is 481106841671. The reversal of 481106841600 is 6148601184.

481106841600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11188531179 + ... + 11188531221.

Almost surely, 2^481106841600 is an apocalyptic number.

481106841600 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 481106841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022870979984).

481106841600 is an abundant number, since it is smaller than the sum of its proper divisors (1564635118368).

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

481106841600 is a wasteful number, since it uses less digits than its factorization.

481106841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 481106841600 in words is "four hundred eighty-one billion, one hundred six million, eight hundred forty-one thousand, six hundred".