1302984049488 has 320 divisors, whose sum is σ = 3790557388800. Its totient is φ = 382263808000.

The previous prime is 1302984049487. The next prime is 1302984049489. The reversal of 1302984049488 is 8849404892031.

It is an interprime number because it is at equal distance from previous prime (1302984049487) and next prime (1302984049489).

It is a super-3 number, since 3×1302984049488³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302984049483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023164633 + ... + 3023165063.

It is an arithmetic number, because the mean of its divisors is an integer number (11845491840).

Almost surely, 2^{1302984049488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302984049488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895278694400).

1302984049488 is an abundant number, since it is smaller than the sum of its proper divisors (2487573339312).

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

1302984049488 is a wasteful number, since it uses less digits than its factorization.

1302984049488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 1302984049488 in words is "one trillion, three hundred two billion, nine hundred eighty-four million, forty-nine thousand, four hundred eighty-eight".