1041008371200 has 1800 divisors, whose sum is σ = 4633461100224. Its totient is φ = 229920768000.

The previous prime is 1041008371181. The next prime is 1041008371219. The reversal of 1041008371200 is 21738001401.

1041008371200 is a `hidden beast` number, since 10 + 410 + 0 + 8 + 37 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1041008371181) and next prime (1041008371219).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 179 ways as a sum of consecutive naturals, for example, 1574898870 + ... + 1574899530.

Almost surely, 2^{1041008371200} is an apocalyptic number.

1041008371200 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 1041008371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316730550112).

1041008371200 is an abundant number, since it is smaller than the sum of its proper divisors (3592452729024).

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

1041008371200 is an equidigital number, since it uses as much as digits as its factorization.

1041008371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1041008371200 in words is "one trillion, forty-one billion, eight million, three hundred seventy-one thousand, two hundred".