1471728061440 has 1848 divisors, whose sum is σ = 6641770055760. Its totient is φ = 310016802816.

The previous prime is 1471728061411. The next prime is 1471728061477. The reversal of 1471728061440 is 441608271741.

1471728061440 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 7 + 28 + 0 + 614 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2377589451 + ... + 2377590069.

Almost surely, 2^{1471728061440} is an apocalyptic number.

1471728061440 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 1471728061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320885027880).

1471728061440 is an abundant number, since it is smaller than the sum of its proper divisors (5170041994320).

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

1471728061440 is an equidigital number, since it uses as much as digits as its factorization.

1471728061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1471728061440 in words is "one trillion, four hundred seventy-one billion, seven hundred twenty-eight million, sixty-one thousand, four hundred forty".