1041294787200 has 1920 divisors, whose sum is σ = 4380027696000. Its totient is φ = 242183208960.

The previous prime is 1041294787199. The next prime is 1041294787201. The reversal of 1041294787200 is 27874921401.

1041294787200 is a `hidden beast` number, since 10 + 412 + 94 + 78 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1041294787199) and next prime (1041294787201).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1041294787201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3284841442 + ... + 3284841758.

It is an arithmetic number, because the mean of its divisors is an integer number (2281264425).

Almost surely, 2^{1041294787200} is an apocalyptic number.

1041294787200 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 1041294787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190013848000).

1041294787200 is an abundant number, since it is smaller than the sum of its proper divisors (3338732908800).

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

1041294787200 is a wasteful number, since it uses less digits than its factorization.

1041294787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1041294787200 in words is "one trillion, forty-one billion, two hundred ninety-four million, seven hundred eighty-seven thousand, two hundred".