445881937451040 has 1152 divisors, whose sum is σ = 1663301441894400. Its totient is φ = 111536035153920.

The previous prime is 445881937451011. The next prime is 445881937451057. The reversal of 445881937451040 is 40154739188544.

It is a happy number.

445881937451040 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 8 + 1 + 9 + 3 + 74 + 510 + 40 = 666.

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, 102761449191 + ... + 102761453529.

It is an arithmetic number, because the mean of its divisors is an integer number (1443838057200).

Almost surely, 2^{445881937451040} is an apocalyptic number.

445881937451040 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 445881937451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831650720947200).

445881937451040 is an abundant number, since it is smaller than the sum of its proper divisors (1217419504443360).

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

445881937451040 is a wasteful number, since it uses less digits than its factorization.

445881937451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 445881937451040 in words is "four hundred forty-five trillion, eight hundred eighty-one billion, nine hundred thirty-seven million, four hundred fifty-one thousand, forty".