1013301606240 has 1152 divisors, whose sum is σ = 4472246338560. Its totient is φ = 209750999040.

The previous prime is 1013301606227. The next prime is 1013301606277. The reversal of 1013301606240 is 426061033101.

1013301606240 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 30 + 1 + 6 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1708771384 + ... + 1708771976.

It is an arithmetic number, because the mean of its divisors is an integer number (3882158280).

Almost surely, 2^{1013301606240} is an apocalyptic number.

1013301606240 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 1013301606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236123169280).

1013301606240 is an abundant number, since it is smaller than the sum of its proper divisors (3458944732320).

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

1013301606240 is a wasteful number, since it uses less digits than its factorization.

1013301606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1013301606240 its reverse (426061033101), we get a palindrome (1439362639341).

The spelling of 1013301606240 in words is "one trillion, thirteen billion, three hundred one million, six hundred six thousand, two hundred forty".