1488361881600 has 1440 divisors, whose sum is σ = 6166224979200. Its totient is φ = 339738624000.

The previous prime is 1488361881577. The next prime is 1488361881607. The reversal of 1488361881600 is 61881638841.

It is a happy number.

1488361881600 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 3 + 618 + 8 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488361881607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40225996782 + ... + 40225996818.

It is an arithmetic number, because the mean of its divisors is an integer number (4282100680).

Almost surely, 2^{1488361881600} is an apocalyptic number.

1488361881600 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 1488361881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083112489600).

1488361881600 is an abundant number, since it is smaller than the sum of its proper divisors (4677863097600).

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

1488361881600 is an equidigital number, since it uses as much as digits as its factorization.

1488361881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1488361881600 in words is "one trillion, four hundred eighty-eight billion, three hundred sixty-one million, eight hundred eighty-one thousand, six hundred".