481405897728 has 1320 divisors, whose sum is σ = 1849290586880. Its totient is φ = 121828147200.

The previous prime is 481405897681. The next prime is 481405897757. The reversal of 481405897728 is 827798504184.

481405897728 is a `hidden beast` number, since 4 + 8 + 1 + 40 + 589 + 7 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 119 ways as a sum of consecutive naturals, for example, 3188118453 + ... + 3188118603.

Almost surely, 2^481405897728 is an apocalyptic number.

481405897728 is a gapful number since it is divisible by the number (48) 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 481405897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924645293440).

481405897728 is an abundant number, since it is smaller than the sum of its proper divisors (1367884689152).

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

481405897728 is a wasteful number, since it uses less digits than its factorization.

481405897728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 481405897728 in words is "four hundred eighty-one billion, four hundred five million, eight hundred ninety-seven thousand, seven hundred twenty-eight".