1294568006040 has 192 divisors, whose sum is σ = 4394602779840. Its totient is φ = 329883079680.

The previous prime is 1294568006027. The next prime is 1294568006041. The reversal of 1294568006040 is 406008654921.

1294568006040 is a `hidden beast` number, since 1 + 29 + 4 + 568 + 0 + 0 + 60 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294568006041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8377314 + ... + 8530446.

It is an arithmetic number, because the mean of its divisors is an integer number (22888556145).

Almost surely, 2^{1294568006040} is an apocalyptic number.

1294568006040 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 1294568006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197301389920).

1294568006040 is an abundant number, since it is smaller than the sum of its proper divisors (3100034773800).

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

1294568006040 is a wasteful number, since it uses less digits than its factorization.

1294568006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154194 (or 154187 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1294568006040 in words is "one trillion, two hundred ninety-four billion, five hundred sixty-eight million, six thousand, forty".