441415023426 has 192 divisors, whose sum is σ = 1109620512000. Its totient is φ = 125685665280.

The previous prime is 441415023383. The next prime is 441415023431. The reversal of 441415023426 is 624320514144.

441415023426 is a `hidden beast` number, since 4 + 4 + 1 + 415 + 0 + 234 + 2 + 6 = 666.

It is a super-2 number, since 2×441415023426² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34401180 + ... + 34414008.

It is an arithmetic number, because the mean of its divisors is an integer number (5779273500).

Almost surely, 2^441415023426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441415023426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554810256000).

441415023426 is an abundant number, since it is smaller than the sum of its proper divisors (668205488574).

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

441415023426 is a wasteful number, since it uses less digits than its factorization.

441415023426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 441415023426 in words is "four hundred forty-one billion, four hundred fifteen million, twenty-three thousand, four hundred twenty-six".