1295287338240 has 576 divisors, whose sum is σ = 5262551078400. Its totient is φ = 295533674496.

The previous prime is 1295287338221. The next prime is 1295287338253. The reversal of 1295287338240 is 428337825921.

1295287338240 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 287 + 338 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143454046 + ... + 143463074.

It is an arithmetic number, because the mean of its divisors is an integer number (9136373400).

Almost surely, 2^{1295287338240} is an apocalyptic number.

1295287338240 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 1295287338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631275539200).

1295287338240 is an abundant number, since it is smaller than the sum of its proper divisors (3967263740160).

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

1295287338240 is an equidigital number, since it uses as much as digits as its factorization.

1295287338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1295287338240 in words is "one trillion, two hundred ninety-five billion, two hundred eighty-seven million, three hundred thirty-eight thousand, two hundred forty".