1041921675648 has 192 divisors, whose sum is σ = 3427168992000. Its totient is φ = 297638820864.

The previous prime is 1041921675643. The next prime is 1041921675653. The reversal of 1041921675648 is 8465761291401.

1041921675648 is a `hidden beast` number, since 1 + 0 + 4 + 19 + 2 + 1 + 67 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1041921675643) and next prime (1041921675653).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1041921675648³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1041921675594 and 1041921675603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041921675643) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77754453 + ... + 77767851.

It is an arithmetic number, because the mean of its divisors is an integer number (17849838500).

Almost surely, 2^{1041921675648} is an apocalyptic number.

1041921675648 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 1041921675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713584496000).

1041921675648 is an abundant number, since it is smaller than the sum of its proper divisors (2385247316352).

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

1041921675648 is a wasteful number, since it uses less digits than its factorization.

1041921675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23069 (or 23054 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1041921675648 in words is "one trillion, forty-one billion, nine hundred twenty-one million, six hundred seventy-five thousand, six hundred forty-eight".