1488088343040 has 320 divisors, whose sum is σ = 5129133964416. Its totient is φ = 365872545792.

The previous prime is 1488088342943. The next prime is 1488088343041. The reversal of 1488088343040 is 403438808841.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1488088343041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90546664 + ... + 90563096.

Almost surely, 2^{1488088343040} is an apocalyptic number.

1488088343040 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 1488088343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564566982208).

1488088343040 is an abundant number, since it is smaller than the sum of its proper divisors (3641045621376).

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

1488088343040 is a wasteful number, since it uses less digits than its factorization.

1488088343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 1488088343040 in words is "one trillion, four hundred eighty-eight billion, eighty-eight million, three hundred forty-three thousand, forty".