10441488673440 has 384 divisors, whose sum is σ = 39965052153600. Its totient is φ = 2525076357120.

The previous prime is 10441488673393. The next prime is 10441488673457. The reversal of 10441488673440 is 4437688414401.

10441488673440 is a `hidden beast` number, since 1 + 0 + 44 + 14 + 8 + 86 + 73 + 440 = 666.

It is a super-2 number, since 2×10441488673440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19167064 + ... + 19704296.

It is an arithmetic number, because the mean of its divisors is an integer number (104075656650).

Almost surely, 2^{10441488673440} is an apocalyptic number.

10441488673440 is a gapful number since it is divisible by the number (10) 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 10441488673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982526076800).

10441488673440 is an abundant number, since it is smaller than the sum of its proper divisors (29523563480160).

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

10441488673440 is a wasteful number, since it uses less digits than its factorization.

10441488673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537677 (or 537663 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 10441488673440 in words is "ten trillion, four hundred forty-one billion, four hundred eighty-eight million, six hundred seventy-three thousand, four hundred forty".