1294320867840 has 1920 divisors, whose sum is σ = 6211145318400. Its totient is φ = 248088821760.

The previous prime is 1294320867821. The next prime is 1294320867869. The reversal of 1294320867840 is 487680234921.

1294320867840 is a `hidden beast` number, since 1 + 29 + 432 + 0 + 86 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 899457841 + ... + 899459279.

It is an arithmetic number, because the mean of its divisors is an integer number (3234971520).

Almost surely, 2^{1294320867840} is an apocalyptic number.

1294320867840 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 1294320867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105572659200).

1294320867840 is an abundant number, since it is smaller than the sum of its proper divisors (4916824450560).

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

1294320867840 is a wasteful number, since it uses less digits than its factorization.

1294320867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 1294320 and 867840, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 1294320867840 in words is "one trillion, two hundred ninety-four billion, three hundred twenty million, eight hundred sixty-seven thousand, eight hundred forty".