481185730440 has 128 divisors (see below), whose sum is σ = 1688371056000. Its totient is φ = 121562705664.

The previous prime is 481185730423. The next prime is 481185730457. The reversal of 481185730440 is 44037581184.

481185730440 is a `hidden beast` number, since 48 + 118 + 57 + 3 + 0 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (481185730423) and next prime (481185730457).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 11704279 + ... + 11745318.

It is an arithmetic number, because the mean of its divisors is an integer number (13190398875).

Almost surely, 2^481185730440 is an apocalyptic number.

481185730440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481185730440 is an abundant number, since it is smaller than the sum of its proper divisors (1207185325560).

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

481185730440 is a wasteful number, since it uses less digits than its factorization.

481185730440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23449636 (or 23449626 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 481185730440 in words is "four hundred eighty-one billion, one hundred eighty-five million, seven hundred thirty thousand, four hundred forty".