441415007906040 has 3072 divisors, whose sum is σ = 1892017999872000. Its totient is φ = 90241602232320.

The previous prime is 441415007905973. The next prime is 441415007906053. The reversal of 441415007906040 is 40609700514144.

441415007906040 is a `hidden beast` number, since 4 + 4 + 1 + 41 + 500 + 7 + 9 + 0 + 60 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1048491705030 + ... + 1048491705450.

It is an arithmetic number, because the mean of its divisors is an integer number (615891276000).

Almost surely, 2^{441415007906040} is an apocalyptic number.

441415007906040 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 441415007906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946008999936000).

441415007906040 is an abundant number, since it is smaller than the sum of its proper divisors (1450602991965960).

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

441415007906040 is a wasteful number, since it uses less digits than its factorization.

441415007906040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 441415007906040 in words is "four hundred forty-one trillion, four hundred fifteen billion, seven million, nine hundred six thousand, forty".