1294378928640 has 960 divisors, whose sum is σ = 5443712651520. Its totient is φ = 285566238720.

The previous prime is 1294378928627. The next prime is 1294378928671. The reversal of 1294378928640 is 468298734921.

1294378928640 is a `hidden beast` number, since 1 + 2 + 9 + 437 + 89 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406907850 + ... + 406911030.

It is an arithmetic number, because the mean of its divisors is an integer number (5670534012).

Almost surely, 2^{1294378928640} is an apocalyptic number.

1294378928640 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 1294378928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721856325760).

1294378928640 is an abundant number, since it is smaller than the sum of its proper divisors (4149333722880).

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

1294378928640 is an equidigital number, since it uses as much as digits as its factorization.

1294378928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1294378928640 in words is "one trillion, two hundred ninety-four billion, three hundred seventy-eight million, nine hundred twenty-eight thousand, six hundred forty".