1295461445040 has 160 divisors (see below), whose sum is σ = 5099594319360. Its totient is φ = 296105469696.

The previous prime is 1295461444993. The next prime is 1295461445053. The reversal of 1295461445040 is 405441645921.

1295461445040 is a `hidden beast` number, since 1 + 2 + 9 + 546 + 14 + 4 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42824214 + ... + 42854453.

It is an arithmetic number, because the mean of its divisors is an integer number (31872464496).

Almost surely, 2^{1295461445040} is an apocalyptic number.

1295461445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1295461445040 is an abundant number, since it is smaller than the sum of its proper divisors (3804132874320).

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

1295461445040 is a wasteful number, since it uses less digits than its factorization.

1295461445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85678696 (or 85678684 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1295461445040 in words is "one trillion, two hundred ninety-five billion, four hundred sixty-one million, four hundred forty-five thousand, forty".