1016830224400 has 135 divisors (see below), whose sum is σ = 2468539726839. Its totient is φ = 402513027840.

The previous prime is 1016830224383. The next prime is 1016830224407. The reversal of 1016830224400 is 44220386101.

The square root of 1016830224400 is 1008380.

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 1024256016 + 1015805968384 = 32004^2 + 1007872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016830224407) 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, 2561285002 + ... + 2561285398.

Almost surely, 2^{1016830224400} is an apocalyptic number.

1016830224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1016830224400 is the 1008380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016830224400

1016830224400 is an abundant number, since it is smaller than the sum of its proper divisors (1451709502439).

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

1016830224400 is an frugal number, since it uses more digits than its factorization.

1016830224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 1016830224400 in words is "one trillion, sixteen billion, eight hundred thirty million, two hundred twenty-four thousand, four hundred".