4011450240000 has 1760 divisors, whose sum is σ = 16796399431680. Its totient is φ = 829661184000.

The previous prime is 4011450239999. The next prime is 4011450240071. The reversal of 4011450240000 is 420541104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 5873279659 + ... + 5873280341.

It is an arithmetic number, because the mean of its divisors is an integer number (9543408768).

Almost surely, 2^{4011450240000} is an apocalyptic number.

4011450240000 is a gapful number since it is divisible by the number (40) 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 4011450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398199715840).

4011450240000 is an abundant number, since it is smaller than the sum of its proper divisors (12784949191680).

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

4011450240000 is a wasteful number, since it uses less digits than its factorization.

4011450240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 4011450240000 its reverse (420541104), we get a palindrome (4011870781104).

The spelling of 4011450240000 in words is "four trillion, eleven billion, four hundred fifty million, two hundred forty thousand".