1013093706240 has 1920 divisors, whose sum is σ = 4643085680640. Its totient is φ = 207006105600.

The previous prime is 1013093706211. The next prime is 1013093706307. The reversal of 1013093706240 is 426073903101.

1013093706240 is a `hidden beast` number, since 10 + 1 + 30 + 9 + 370 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1013093706195 and 1013093706204.

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 191 ways as a sum of consecutive naturals, for example, 2645153089 + ... + 2645153471.

It is an arithmetic number, because the mean of its divisors is an integer number (2418273792).

Almost surely, 2^{1013093706240} is an apocalyptic number.

1013093706240 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 1013093706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321542840320).

1013093706240 is an abundant number, since it is smaller than the sum of its proper divisors (3629991974400).

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

1013093706240 is a wasteful number, since it uses less digits than its factorization.

1013093706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 1013093706240 in words is "one trillion, thirteen billion, ninety-three million, seven hundred six thousand, two hundred forty".