481551618240 has 1344 divisors, whose sum is σ = 2227601295360. Its totient is φ = 95678668800.

The previous prime is 481551618227. The next prime is 481551618253. The reversal of 481551618240 is 42816155184.

481551618240 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 5 + 1 + 618 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481551618227) and next prime (481551618253).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×481551618240² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168314410 + ... + 168317270.

It is an arithmetic number, because the mean of its divisors is an integer number (1657441440).

Almost surely, 2^481551618240 is an apocalyptic number.

481551618240 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 481551618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113800647680).

481551618240 is an abundant number, since it is smaller than the sum of its proper divisors (1746049677120).

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

481551618240 is a wasteful number, since it uses less digits than its factorization.

481551618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 481551618240 in words is "four hundred eighty-one billion, five hundred fifty-one million, six hundred eighteen thousand, two hundred forty".