441290658096 has 200 divisors, whose sum is σ = 1357905811680. Its totient is φ = 138046132224.

The previous prime is 441290658079. The next prime is 441290658097. The reversal of 441290658096 is 690856092144.

441290658096 is a `hidden beast` number, since 4 + 412 + 9 + 0 + 65 + 80 + 96 = 666.

441290658096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (441290658097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1440160 + ... + 1719488.

Almost surely, 2^441290658096 is an apocalyptic number.

441290658096 is a gapful number since it is divisible by the number (46) 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 441290658096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678952905840).

441290658096 is an abundant number, since it is smaller than the sum of its proper divisors (916615153584).

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

441290658096 is a wasteful number, since it uses less digits than its factorization.

441290658096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279425 (or 279410 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 441290658096 in words is "four hundred forty-one billion, two hundred ninety million, six hundred fifty-eight thousand, ninety-six".