1456640146260 has 288 divisors, whose sum is σ = 4839828564480. Its totient is φ = 352426982400.

The previous prime is 1456640146189. The next prime is 1456640146289. The reversal of 1456640146260 is 626410466541.

1456640146260 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 4 + 0 + 14 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 268205745 + ... + 268211175.

Almost surely, 2^{1456640146260} is an apocalyptic number.

1456640146260 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 1456640146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419914282240).

1456640146260 is an abundant number, since it is smaller than the sum of its proper divisors (3383188418220).

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

1456640146260 is a wasteful number, since it uses less digits than its factorization.

1456640146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1456640146260 in words is "one trillion, four hundred fifty-six billion, six hundred forty million, one hundred forty-six thousand, two hundred sixty".