481031780604480 has 1120 divisors, whose sum is σ = 1993750733018880. Its totient is φ = 107805548298240.

The previous prime is 481031780604469. The next prime is 481031780604523. The reversal of 481031780604480 is 84406087130184.

481031780604480 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 31 + 78 + 0 + 60 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×481031780604480³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15588039291 + ... + 15588070149.

Almost surely, 2^{481031780604480} is an apocalyptic number.

481031780604480 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 481031780604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996875366509440).

481031780604480 is an abundant number, since it is smaller than the sum of its proper divisors (1512718952414400).

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

481031780604480 is a wasteful number, since it uses less digits than its factorization.

481031780604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32569 (or 32550 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 481031780604480 in words is "four hundred eighty-one trillion, thirty-one billion, seven hundred eighty million, six hundred four thousand, four hundred eighty".