481262549760 has 432 divisors, whose sum is σ = 1766996335104. Its totient is φ = 125348622336.

The previous prime is 481262549737. The next prime is 481262549791. The reversal of 481262549760 is 67945262184.

481262549760 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 625 + 4 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×481262549760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 481262549697 and 481262549706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356729 + ... + 13392711.

Almost surely, 2^481262549760 is an apocalyptic number.

481262549760 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 481262549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883498167552).

481262549760 is an abundant number, since it is smaller than the sum of its proper divisors (1285733785344).

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

481262549760 is an equidigital number, since it uses as much as digits as its factorization.

481262549760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36062 (or 36036 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 481262549760 in words is "four hundred eighty-one billion, two hundred sixty-two million, five hundred forty-nine thousand, seven hundred sixty".