1272684853440 has 2016 divisors, whose sum is σ = 6020438860800. Its totient is φ = 240066478080.

The previous prime is 1272684853423. The next prime is 1272684853493. The reversal of 1272684853440 is 443584862721.

1272684853440 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 68 + 4 + 8 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2124682261 + ... + 2124682859.

It is an arithmetic number, because the mean of its divisors is an integer number (2986328800).

Almost surely, 2^{1272684853440} is an apocalyptic number.

1272684853440 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 1272684853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010219430400).

1272684853440 is an abundant number, since it is smaller than the sum of its proper divisors (4747754007360).

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

1272684853440 is a wasteful number, since it uses less digits than its factorization.

1272684853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 1272684853440 in words is "one trillion, two hundred seventy-two billion, six hundred eighty-four million, eight hundred fifty-three thousand, four hundred forty".