1042114421200 has 60 divisors (see below), whose sum is σ = 2531811218220. Its totient is φ = 412162094080.

The previous prime is 1042114421191. The next prime is 1042114421237. The reversal of 1042114421200 is 21244112401.

It can be written as a sum of positive squares in 6 ways, for example, as 216582267456 + 825532153744 = 465384^2 + 908588^2 .

It is a super-2 number, since 2×1042114421200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14600839 + ... + 14672038.

It is an arithmetic number, because the mean of its divisors is an integer number (42196853637).

Almost surely, 2^{1042114421200} is an apocalyptic number.

1042114421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042114421200 is an abundant number, since it is smaller than the sum of its proper divisors (1489696797020).

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

1042114421200 is a wasteful number, since it uses less digits than its factorization.

1042114421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272984 (or 29272973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1042114421200 its reverse (21244112401), we get a palindrome (1063358533601).

The spelling of 1042114421200 in words is "one trillion, forty-two billion, one hundred fourteen million, four hundred twenty-one thousand, two hundred".