1041706009600 has 99 divisors (see below), whose sum is σ = 2582574318597. Its totient is φ = 416617082880.

The previous prime is 1041706009543. The next prime is 1041706009627. The reversal of 1041706009600 is 69006071401.

The square root of 1041706009600 is 1020640.

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

It can be written as a sum of positive squares in only one way, i.e., 375014163456 + 666691846144 = 612384^2 + 816512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163299211 + ... + 163305589.

Almost surely, 2^{1041706009600} is an apocalyptic number.

1041706009600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041706009600 is the 1020640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041706009600

1041706009600 is an abundant number, since it is smaller than the sum of its proper divisors (1540868308997).

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

1041706009600 is an frugal number, since it uses more digits than its factorization.

1041706009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 1041706009600 in words is "one trillion, forty-one billion, seven hundred six million, nine thousand, six hundred".