1001541440000 has 400 divisors, whose sum is σ = 2673777617280. Its totient is φ = 373739520000.

The previous prime is 1001541439999. The next prime is 1001541440089. The reversal of 1001541440000 is 441451001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301758341 + ... + 301761659.

Almost surely, 2^{1001541440000} is an apocalyptic number.

1001541440000 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 1001541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336888808640).

1001541440000 is an abundant number, since it is smaller than the sum of its proper divisors (1672236177280).

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

1001541440000 is an frugal number, since it uses more digits than its factorization.

1001541440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1001541440000 its reverse (441451001), we get a palindrome (1001982891001).

The spelling of 1001541440000 in words is "one trillion, one billion, five hundred forty-one million, four hundred forty thousand".