1042351027200 has 1848 divisors, whose sum is σ = 4527722945280. Its totient is φ = 232906752000.

The previous prime is 1042351027141. The next prime is 1042351027241. The reversal of 1042351027200 is 27201532401.

1042351027200 is a `hidden beast` number, since 1 + 0 + 42 + 351 + 0 + 272 + 0 + 0 = 666.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10320307150 + ... + 10320307250.

Almost surely, 2^{1042351027200} is an apocalyptic number.

1042351027200 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 1042351027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263861472640).

1042351027200 is an abundant number, since it is smaller than the sum of its proper divisors (3485371918080).

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

1042351027200 is an equidigital number, since it uses as much as digits as its factorization.

1042351027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 1042351027200 its reverse (27201532401), we get a palindrome (1069552559601).

The spelling of 1042351027200 in words is "one trillion, forty-two billion, three hundred fifty-one million, twenty-seven thousand, two hundred".