1463888881440 has 288 divisors, whose sum is σ = 5184242009856. Its totient is φ = 390091438080.

The previous prime is 1463888881409. The next prime is 1463888881453. The reversal of 1463888881440 is 441888883641.

1463888881440 is a `hidden beast` number, since 1 + 4 + 6 + 38 + 8 + 88 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 57568569 + ... + 57593991.

It is an arithmetic number, because the mean of its divisors is an integer number (18000840312).

Almost surely, 2^{1463888881440} is an apocalyptic number.

1463888881440 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 1463888881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592121004928).

1463888881440 is an abundant number, since it is smaller than the sum of its proper divisors (3720353128416).

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

1463888881440 is a wasteful number, since it uses less digits than its factorization.

1463888881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26934 (or 26914 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 1463888881440 in words is "one trillion, four hundred sixty-three billion, eight hundred eighty-eight million, eight hundred eighty-one thousand, four hundred forty".