481417532640 has 576 divisors, whose sum is σ = 1856749003200. Its totient is φ = 112567910400.

The previous prime is 481417532597. The next prime is 481417532641. The reversal of 481417532640 is 46235714184.

481417532640 is a `hidden beast` number, since 48 + 1 + 4 + 17 + 532 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481417532641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57795996 + ... + 57804324.

It is an arithmetic number, because the mean of its divisors is an integer number (3223522575).

Almost surely, 2^481417532640 is an apocalyptic number.

481417532640 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 481417532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928374501600).

481417532640 is an abundant number, since it is smaller than the sum of its proper divisors (1375331470560).

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

481417532640 is a wasteful number, since it uses less digits than its factorization.

481417532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 481417532640 in words is "four hundred eighty-one billion, four hundred seventeen million, five hundred thirty-two thousand, six hundred forty".