481405301637760 has 128 divisors (see below), whose sum is σ = 1166650858762560. Its totient is φ = 189920032727040.

The previous prime is 481405301637721. The next prime is 481405301637761. The reversal of 481405301637760 is 67736103504184.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (481405301637761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831660919 + ... + 2831830921.

Almost surely, 2^{481405301637760} is an apocalyptic number.

481405301637760 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 481405301637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583325429381280).

481405301637760 is an abundant number, since it is smaller than the sum of its proper divisors (685245557124800).

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

481405301637760 is a wasteful number, since it uses less digits than its factorization.

481405301637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230706 (or 230694 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 481405301637760 in words is "four hundred eighty-one trillion, four hundred five billion, three hundred one million, six hundred thirty-seven thousand, seven hundred sixty".