1303288988040 has 768 divisors, whose sum is σ = 5016103200000. Its totient is φ = 299805622272.

The previous prime is 1303288987999. The next prime is 1303288988041. The reversal of 1303288988040 is 408898823031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1303288988041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462321751 + ... + 462324569.

It is an arithmetic number, because the mean of its divisors is an integer number (6531384375).

Almost surely, 2^{1303288988040} is an apocalyptic number.

1303288988040 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 1303288988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508051600000).

1303288988040 is an abundant number, since it is smaller than the sum of its proper divisors (3712814211960).

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

1303288988040 is a wasteful number, since it uses less digits than its factorization.

1303288988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1303288988040 in words is "one trillion, three hundred three billion, two hundred eighty-eight million, nine hundred eighty-eight thousand, forty".