1303935142720 has 168 divisors, whose sum is σ = 3616422556320. Its totient is φ = 446507873280.

The previous prime is 1303935142717. The next prime is 1303935142747. The reversal of 1303935142720 is 272415393031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12665211 + ... + 12767749.

It is an arithmetic number, because the mean of its divisors is an integer number (21526324740).

Almost surely, 2^{1303935142720} is an apocalyptic number.

1303935142720 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 1303935142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808211278160).

1303935142720 is an abundant number, since it is smaller than the sum of its proper divisors (2312487413600).

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

1303935142720 is a wasteful number, since it uses less digits than its factorization.

1303935142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103381 (or 103364 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 1303935142720 in words is "one trillion, three hundred three billion, nine hundred thirty-five million, one hundred forty-two thousand, seven hundred twenty".