1294720836480 has 768 divisors, whose sum is σ = 4936895308800. Its totient is φ = 311430168576.

The previous prime is 1294720836427. The next prime is 1294720836529. The reversal of 1294720836480 is 846380274921.

1294720836480 is a `hidden beast` number, since 1 + 2 + 94 + 72 + 0 + 8 + 3 + 6 + 480 = 666.

It is a congruent number.

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, 190312759 + ... + 190319561.

It is an arithmetic number, because the mean of its divisors is an integer number (6428249100).

Almost surely, 2^{1294720836480} is an apocalyptic number.

1294720836480 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 1294720836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468447654400).

1294720836480 is an abundant number, since it is smaller than the sum of its proper divisors (3642174472320).

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

1294720836480 is a wasteful number, since it uses less digits than its factorization.

1294720836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6916 counting only the distinct ones).

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

The spelling of 1294720836480 in words is "one trillion, two hundred ninety-four billion, seven hundred twenty million, eight hundred thirty-six thousand, four hundred eighty".