1460726332272 has 120 divisors (see below), whose sum is σ = 4111111004000. Its totient is φ = 484159762944.

The previous prime is 1460726332243. The next prime is 1460726332333. The reversal of 1460726332272 is 2722336270641.

1460726332272 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 7 + 2 + 633 + 2 + 2 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48499554 + ... + 48529662.

Almost surely, 2^{1460726332272} is an apocalyptic number.

1460726332272 is a gapful number since it is divisible by the number (12) 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 1460726332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055555502000).

1460726332272 is an abundant number, since it is smaller than the sum of its proper divisors (2650384671728).

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

1460726332272 is a wasteful number, since it uses less digits than its factorization.

1460726332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32015 (or 32006 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 1460726332272 in words is "one trillion, four hundred sixty billion, seven hundred twenty-six million, three hundred thirty-two thousand, two hundred seventy-two".