1042110259200 has 252 divisors, whose sum is σ = 3732849282318. Its totient is φ = 277895577600.

The previous prime is 1042110259199. The next prime is 1042110259237. The reversal of 1042110259200 is 29520112401.

1042110259200 is a `hidden beast` number, since 1 + 0 + 421 + 10 + 25 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 443108560896 + 599001698304 = 665664^2 + 773952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1560510 + ... + 2125890.

Almost surely, 2^{1042110259200} is an apocalyptic number.

1042110259200 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 1042110259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866424641159).

1042110259200 is an abundant number, since it is smaller than the sum of its proper divisors (2690739023118).

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

1042110259200 is an equidigital number, since it uses as much as digits as its factorization.

1042110259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565423 (or 565391 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1042110259200 in words is "one trillion, forty-two billion, one hundred ten million, two hundred fifty-nine thousand, two hundred".