481705131840 has 448 divisors, whose sum is σ = 1596832081920. Its totient is φ = 122952130560.

The previous prime is 481705131757. The next prime is 481705131871. The reversal of 481705131840 is 48131507184.

It is a junction number, because it is equal to n+sod(n) for n = 481705131792 and 481705131801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369688629 + ... + 369689931.

Almost surely, 2^481705131840 is an apocalyptic number.

481705131840 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 481705131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798416040960).

481705131840 is an abundant number, since it is smaller than the sum of its proper divisors (1115126950080).

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

481705131840 is a wasteful number, since it uses less digits than its factorization.

481705131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 481705131840 in words is "four hundred eighty-one billion, seven hundred five million, one hundred thirty-one thousand, eight hundred forty".