1295147919240 has 1152 divisors, whose sum is σ = 5520395462400. Its totient is φ = 256210698240.

The previous prime is 1295147919203. The next prime is 1295147919271. The reversal of 1295147919240 is 429197415921.

1295147919240 is a `hidden beast` number, since 1 + 2 + 9 + 514 + 79 + 19 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6574354822 + ... + 6574355018.

It is an arithmetic number, because the mean of its divisors is an integer number (4792009950).

Almost surely, 2^{1295147919240} is an apocalyptic number.

1295147919240 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 1295147919240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760197731200).

1295147919240 is an abundant number, since it is smaller than the sum of its proper divisors (4225247543160).

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

1295147919240 is a wasteful number, since it uses less digits than its factorization.

1295147919240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1295147919240 in words is "one trillion, two hundred ninety-five billion, one hundred forty-seven million, nine hundred nineteen thousand, two hundred forty".