1013343214240 has 288 divisors, whose sum is σ = 2890826475264. Its totient is φ = 334457948160.

The previous prime is 1013343214207. The next prime is 1013343214321. The reversal of 1013343214240 is 424123433101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1013343214199 and 1013343214208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22454739 + ... + 22499821.

It is an arithmetic number, because the mean of its divisors is an integer number (10037591928).

Almost surely, 2^{1013343214240} is an apocalyptic number.

1013343214240 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 1013343214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445413237632).

1013343214240 is an abundant number, since it is smaller than the sum of its proper divisors (1877483261024).

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

1013343214240 is a wasteful number, since it uses less digits than its factorization.

1013343214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45220 (or 45205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1013343214240 its reverse (424123433101), we get a palindrome (1437466647341).

The spelling of 1013343214240 in words is "one trillion, thirteen billion, three hundred forty-three million, two hundred fourteen thousand, two hundred forty".