1041816283200 has 756 divisors, whose sum is σ = 4699027515312. Its totient is φ = 216479692800.

The previous prime is 1041816283199. The next prime is 1041816283229. The reversal of 1041816283200 is 23826181401.

1041816283200 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 8 + 1 + 628 + 3 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7694487 + ... + 7828713.

Almost surely, 2^{1041816283200} is an apocalyptic number.

1041816283200 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 1041816283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349513757656).

1041816283200 is an abundant number, since it is smaller than the sum of its proper divisors (3657211232112).

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

1041816283200 is a wasteful number, since it uses less digits than its factorization.

1041816283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134280 (or 134255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1041816283200 in words is "one trillion, forty-one billion, eight hundred sixteen million, two hundred eighty-three thousand, two hundred".