1041033772800 has 1944 divisors, whose sum is σ = 4732834579200. Its totient is φ = 225113333760.

The previous prime is 1041033772741. The next prime is 1041033772861. The reversal of 1041033772800 is 82773301401.

1041033772800 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 3 + 377 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×1041033772800² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1447890841 + ... + 1447891559.

Almost surely, 2^{1041033772800} is an apocalyptic number.

1041033772800 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 1041033772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366417289600).

1041033772800 is an abundant number, since it is smaller than the sum of its proper divisors (3691800806400).

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

1041033772800 is an equidigital number, since it uses as much as digits as its factorization.

1041033772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1041033772800 in words is "one trillion, forty-one billion, thirty-three million, seven hundred seventy-two thousand, eight hundred".