1303132115040 has 288 divisors, whose sum is σ = 4929084969984. Its totient is φ = 288250260480.

The previous prime is 1303132115023. The next prime is 1303132115063. The reversal of 1303132115040 is 405112313031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1303132115040.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 164514 + ... + 1622753.

It is an arithmetic number, because the mean of its divisors is an integer number (17114878368).

Almost surely, 2^{1303132115040} is an apocalyptic number.

1303132115040 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 1303132115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464542484992).

1303132115040 is an abundant number, since it is smaller than the sum of its proper divisors (3625952854944).

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

1303132115040 is a wasteful number, since it uses less digits than its factorization.

1303132115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787330 (or 1787315 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1303132115040 its reverse (405112313031), we get a palindrome (1708244428071).

The spelling of 1303132115040 in words is "one trillion, three hundred three billion, one hundred thirty-two million, one hundred fifteen thousand, forty".