481071003840 has 336 divisors, whose sum is σ = 1891841540160. Its totient is φ = 109914071040.

The previous prime is 481071003821. The next prime is 481071003857. The reversal of 481071003840 is 48300170184.

481071003840 is a `hidden beast` number, since 481 + 0 + 7 + 100 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 481071003795 and 481071003804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97995306 + ... + 98000214.

Almost surely, 2^481071003840 is an apocalyptic number.

481071003840 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 481071003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945920770080).

481071003840 is an abundant number, since it is smaller than the sum of its proper divisors (1410770536320).

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

481071003840 is a wasteful number, since it uses less digits than its factorization.

481071003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 481071003840 in words is "four hundred eighty-one billion, seventy-one million, three thousand, eight hundred forty".