1010966430400 has 336 divisors, whose sum is σ = 2563648416000. Its totient is φ = 392270376960.

The previous prime is 1010966430391. The next prime is 1010966430433. The reversal of 1010966430400 is 40346690101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667457411 + ... + 2667457789.

It is an arithmetic number, because the mean of its divisors is an integer number (7629906000).

Almost surely, 2^{1010966430400} is an apocalyptic number.

1010966430400 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 1010966430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281824208000).

1010966430400 is an abundant number, since it is smaller than the sum of its proper divisors (1552681985600).

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

1010966430400 is a wasteful number, since it uses less digits than its factorization.

1010966430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 1010966430400 in words is "one trillion, ten billion, nine hundred sixty-six million, four hundred thirty thousand, four hundred".