1295248292640 has 144 divisors (see below), whose sum is σ = 4424563693368. Its totient is φ = 345045639168.

The previous prime is 1295248292633. The next prime is 1295248292647. The reversal of 1295248292640 is 462928425921.

1295248292640 is a `hidden beast` number, since 1 + 29 + 52 + 482 + 92 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1295248292633) and next prime (1295248292647).

It can be written as a sum of positive squares in 4 ways, for example, as 1232606211984 + 62642080656 = 1110228^2 + 250284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1295248292647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946554 + ... + 1867206.

Almost surely, 2^{1295248292640} is an apocalyptic number.

1295248292640 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 1295248292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212281846684).

1295248292640 is an abundant number, since it is smaller than the sum of its proper divisors (3129315400728).

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

1295248292640 is a wasteful number, since it uses less digits than its factorization.

1295248292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921651 (or 921640 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1295248292640 in words is "one trillion, two hundred ninety-five billion, two hundred forty-eight million, two hundred ninety-two thousand, six hundred forty".