1041640205760 has 1792 divisors, whose sum is σ = 5009074421760. Its totient is φ = 197074944000.

The previous prime is 1041640205747. The next prime is 1041640205783. The reversal of 1041640205760 is 675020461401.

1041640205760 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 64 + 0 + 20 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350601075 + ... + 350604045.

Almost surely, 2^{1041640205760} is an apocalyptic number.

1041640205760 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 1041640205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504537210880).

1041640205760 is an abundant number, since it is smaller than the sum of its proper divisors (3967434216000).

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

1041640205760 is a wasteful number, since it uses less digits than its factorization.

1041640205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1041640205760 in words is "one trillion, forty-one billion, six hundred forty million, two hundred five thousand, seven hundred sixty".