4024033400000 has 168 divisors, whose sum is σ = 10129851929232. Its totient is φ = 1585584000000.

The previous prime is 4024033399993. The next prime is 4024033400021. The reversal of 4024033400000 is 43304204.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13249850 + ... + 13550150.

It is an arithmetic number, because the mean of its divisors is an integer number (60296737674).

Almost surely, 2^{4024033400000} is an apocalyptic number.

4024033400000 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 4024033400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064925964616).

4024033400000 is an abundant number, since it is smaller than the sum of its proper divisors (6105818529232).

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

4024033400000 is an frugal number, since it uses more digits than its factorization.

4024033400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300405 (or 300375 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 4024033400000 its reverse (43304204), we get a palindrome (4024076704204).

The spelling of 4024033400000 in words is "four trillion, twenty-four billion, thirty-three million, four hundred thousand".