481247919546840 has 384 divisors, whose sum is σ = 1570638059827200. Its totient is φ = 127794254515200.

The previous prime is 481247919546773. The next prime is 481247919546859. The reversal of 481247919546840 is 48645919742184.

481247919546840 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 4 + 79 + 1 + 9 + 546 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246667307865 + ... + 246667309815.

It is an arithmetic number, because the mean of its divisors is an integer number (4090203280800).

Almost surely, 2^{481247919546840} is an apocalyptic number.

481247919546840 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 481247919546840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785319029913600).

481247919546840 is an abundant number, since it is smaller than the sum of its proper divisors (1089390140280360).

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

481247919546840 is a wasteful number, since it uses less digits than its factorization.

481247919546840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 481247919546840 in words is "four hundred eighty-one trillion, two hundred forty-seven billion, nine hundred nineteen million, five hundred forty-six thousand, eight hundred forty".