1040721671808 has 1536 divisors, whose sum is σ = 4102358400000. Its totient is φ = 256716988416.

The previous prime is 1040721671729. The next prime is 1040721671813. The reversal of 1040721671808 is 8081761270401.

1040721671808 is a `hidden beast` number, since 1 + 0 + 407 + 2 + 1 + 67 + 180 + 8 = 666.

1040721671808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5814087463 + ... + 5814087641.

It is an arithmetic number, because the mean of its divisors is an integer number (2670806250).

Almost surely, 2^{1040721671808} is an apocalyptic number.

1040721671808 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 1040721671808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051179200000).

1040721671808 is an abundant number, since it is smaller than the sum of its proper divisors (3061636728192).

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

1040721671808 is a wasteful number, since it uses less digits than its factorization.

1040721671808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1040721671808 in words is "one trillion, forty billion, seven hundred twenty-one million, six hundred seventy-one thousand, eight hundred eight".