1010744640000 has 600 divisors, whose sum is σ = 3697268395392. Its totient is φ = 265681920000.

The previous prime is 1010744639953. The next prime is 1010744640007. The reversal of 1010744640000 is 464470101.

1010744640000 is a `hidden beast` number, since 1 + 0 + 10 + 7 + 4 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (1010744640007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 204477529 + ... + 204482471.

Almost surely, 2^{1010744640000} is an apocalyptic number.

1010744640000 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 1010744640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848634197696).

1010744640000 is an abundant number, since it is smaller than the sum of its proper divisors (2686523755392).

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

1010744640000 is an frugal number, since it uses more digits than its factorization.

1010744640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 1010744640000 in words is "one trillion, ten billion, seven hundred forty-four million, six hundred forty thousand".