481903979040 has 960 divisors, whose sum is σ = 1916517335040. Its totient is φ = 113026959360.

The previous prime is 481903979033. The next prime is 481903979059. The reversal of 481903979040 is 40979309184.

481903979040 is a `hidden beast` number, since 4 + 81 + 90 + 397 + 90 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 778519851 + ... + 778520469.

It is an arithmetic number, because the mean of its divisors is an integer number (1996372224).

Almost surely, 2^481903979040 is an apocalyptic number.

481903979040 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 481903979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958258667520).

481903979040 is an abundant number, since it is smaller than the sum of its proper divisors (1434613356000).

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

481903979040 is a wasteful number, since it uses less digits than its factorization.

481903979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 481903979040 in words is "four hundred eighty-one billion, nine hundred three million, nine hundred seventy-nine thousand, forty".