4011424144000 has 1024 divisors, whose sum is σ = 12616510233600. Its totient is φ = 1234693324800.

The previous prime is 4011424143943. The next prime is 4011424144019. The reversal of 4011424144000 is 4414241104.

4011424144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4011424144000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17517135886 + ... + 17517136114.

It is an arithmetic number, because the mean of its divisors is an integer number (12320810775).

Almost surely, 2^{4011424144000} is an apocalyptic number.

4011424144000 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 4011424144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308255116800).

4011424144000 is an abundant number, since it is smaller than the sum of its proper divisors (8605086089600).

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

4011424144000 is a wasteful number, since it uses less digits than its factorization.

4011424144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4011424144000 its reverse (4414241104), we get a palindrome (4015838385104).

The spelling of 4011424144000 in words is "four trillion, eleven billion, four hundred twenty-four million, one hundred forty-four thousand".