10441957783968 has 384 divisors, whose sum is σ = 33290611200000. Its totient is φ = 3171611261952.

The previous prime is 10441957783967. The next prime is 10441957783969. The reversal of 10441957783968 is 86938775914401.

10441957783968 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 19 + 577 + 8 + 39 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10441957783967) and next prime (10441957783969).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10441957783896 and 10441957783905.

It is not an unprimeable number, because it can be changed into a prime (10441957783963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125163133 + ... + 125246531.

It is an arithmetic number, because the mean of its divisors is an integer number (86694300000).

Almost surely, 2^{10441957783968} is an apocalyptic number.

10441957783968 is a gapful number since it is divisible by the number (18) 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 10441957783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645305600000).

10441957783968 is an abundant number, since it is smaller than the sum of its proper divisors (22848653416032).

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

10441957783968 is a wasteful number, since it uses less digits than its factorization.

10441957783968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83729 (or 83715 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 10441957783968 in words is "ten trillion, four hundred forty-one billion, nine hundred fifty-seven million, seven hundred eighty-three thousand, nine hundred sixty-eight".