1460460412440 has 144 divisors (see below), whose sum is σ = 4757752490400. Its totient is φ = 388534707840.

The previous prime is 1460460412393. The next prime is 1460460412471. The reversal of 1460460412440 is 442140640641.

1460460412440 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 4 + 604 + 1 + 2 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1460460412395 and 1460460412404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66863041 + ... + 66884879.

It is an arithmetic number, because the mean of its divisors is an integer number (33039947850).

Almost surely, 2^{1460460412440} is an apocalyptic number.

1460460412440 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 1460460412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378876245200).

1460460412440 is an abundant number, since it is smaller than the sum of its proper divisors (3297292077960).

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

1460460412440 is a wasteful number, since it uses less digits than its factorization.

1460460412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22718 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1460460412440 in words is "one trillion, four hundred sixty billion, four hundred sixty million, four hundred twelve thousand, four hundred forty".