1407269728656 has 675 divisors, whose sum is σ = 4681029358395. Its totient is φ = 394605509760.

The previous prime is 1407269728649. The next prime is 1407269728691. The reversal of 1407269728656 is 6568279627041.

The square root of 1407269728656 is 1186284.

It is a perfect power (a square), and thus also a powerful number.

1407269728656 is a `hidden beast` number, since 1 + 40 + 7 + 269 + 7 + 286 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1407269728593 and 1407269728602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 32727202971 + ... + 32727203013.

Almost surely, 2^{1407269728656} is an apocalyptic number.

1407269728656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1407269728656 is the 1186284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407269728656

1407269728656 is an abundant number, since it is smaller than the sum of its proper divisors (3273759629739).

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

1407269728656 is an equidigital number, since it uses as much as digits as its factorization.

1407269728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1407269728656 in words is "one trillion, four hundred seven billion, two hundred sixty-nine million, seven hundred twenty-eight thousand, six hundred fifty-six".