1295449640748 has 384 divisors, whose sum is σ = 3685264128000. Its totient is φ = 391980072960.

The previous prime is 1295449640747. The next prime is 1295449640753. The reversal of 1295449640748 is 8470469445921.

1295449640748 is a `hidden beast` number, since 1 + 2 + 9 + 544 + 9 + 6 + 40 + 7 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (1295449640747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2991800340 + ... + 2991800772.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042000).

Almost surely, 2^{1295449640748} is an apocalyptic number.

1295449640748 is a gapful number since it is divisible by the number (18) 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 1295449640748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842632064000).

1295449640748 is an abundant number, since it is smaller than the sum of its proper divisors (2389814487252).

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

1295449640748 is a wasteful number, since it uses less digits than its factorization.

1295449640748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1295449640748 in words is "one trillion, two hundred ninety-five billion, four hundred forty-nine million, six hundred forty thousand, seven hundred forty-eight".