1049640828480 has 448 divisors, whose sum is σ = 3968352622080. Its totient is φ = 260496580608.

The previous prime is 1049640828479. The next prime is 1049640828491. The reversal of 1049640828480 is 848280469401.

It is a happy number.

1049640828480 is a `hidden beast` number, since 1 + 0 + 49 + 6 + 40 + 82 + 8 + 480 = 666.

It is a super-2 number, since 2×1049640828480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7281262 + ... + 7424018.

It is an arithmetic number, because the mean of its divisors is an integer number (8857929960).

Almost surely, 2^{1049640828480} is an apocalyptic number.

1049640828480 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 1049640828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984176311040).

1049640828480 is an abundant number, since it is smaller than the sum of its proper divisors (2918711793600).

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

1049640828480 is a wasteful number, since it uses less digits than its factorization.

1049640828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142843 (or 142827 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1049640828480 in words is "one trillion, forty-nine billion, six hundred forty million, eight hundred twenty-eight thousand, four hundred eighty".