1000288491840 has 1680 divisors, whose sum is σ = 4214207478096. Its totient is φ = 224227491840.

The previous prime is 1000288491809. The next prime is 1000288491841. The reversal of 1000288491840 is 481948820001.

1000288491840 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 88 + 491 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 182233364544 + 818055127296 = 426888^2 + 904464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000288491841) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 3892172992 + ... + 3892173248.

Almost surely, 2^{1000288491840} is an apocalyptic number.

1000288491840 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 1000288491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107103739048).

1000288491840 is an abundant number, since it is smaller than the sum of its proper divisors (3213918986256).

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

1000288491840 is a wasteful number, since it uses less digits than its factorization.

1000288491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

It can be divided in two parts, 1000288 and 491840, that added together give a triangular number (1492128 = T₁₇₂₇).

The spelling of 1000288491840 in words is "one trillion, two hundred eighty-eight million, four hundred ninety-one thousand, eight hundred forty".