481417896960 has 2816 divisors, whose sum is σ = 2377009152000. Its totient is φ = 91039334400.

The previous prime is 481417896959. The next prime is 481417897003. The reversal of 481417896960 is 69698714184.

481417896960 is a `hidden beast` number, since 4 + 81 + 417 + 89 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6780533725 + ... + 6780533795.

Almost surely, 2^481417896960 is an apocalyptic number.

481417896960 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 481417896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188504576000).

481417896960 is an abundant number, since it is smaller than the sum of its proper divisors (1895591255040).

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

481417896960 is a wasteful number, since it uses less digits than its factorization.

481417896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 481417896960 in words is "four hundred eighty-one billion, four hundred seventeen million, eight hundred ninety-six thousand, nine hundred sixty".