1042992412900 has 81 divisors (see below), whose sum is σ = 2296363701051. Its totient is φ = 411187812480.

The previous prime is 1042992412873. The next prime is 1042992412907. The reversal of 1042992412900 is 92142992401.

The square root of 1042992412900 is 1021270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5707198116 + 1037285214784 = 75546^2 + 1018472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1042992412907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 745526401 + ... + 745527799.

Almost surely, 2^{1042992412900} is an apocalyptic number.

1042992412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042992412900 is the 1021270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042992412900

1042992412900 is an abundant number, since it is smaller than the sum of its proper divisors (1253371288151).

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

1042992412900 is an frugal number, since it uses more digits than its factorization.

1042992412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 1042992412900 in words is "one trillion, forty-two billion, nine hundred ninety-two million, four hundred twelve thousand, nine hundred".