481909402386432 has 720 divisors, whose sum is σ = 1416984284701440. Its totient is φ = 157805936640000.

The previous prime is 481909402386397. The next prime is 481909402386437. The reversal of 481909402386432 is 234683204909184.

481909402386432 is a `hidden beast` number, since 4 + 8 + 1 + 90 + 94 + 0 + 23 + 8 + 6 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 481909402386432.

It is not an unprimeable number, because it can be changed into a prime (481909402386437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455919644507 + ... + 1455919644837.

It is an arithmetic number, because the mean of its divisors is an integer number (1968033728752).

Almost surely, 2^{481909402386432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481909402386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708492142350720).

481909402386432 is an abundant number, since it is smaller than the sum of its proper divisors (935074882315008).

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

481909402386432 is a wasteful number, since it uses less digits than its factorization.

481909402386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 481909402386432 in words is "four hundred eighty-one trillion, nine hundred nine billion, four hundred two million, three hundred eighty-six thousand, four hundred thirty-two".