4368001419040 has 384 divisors, whose sum is σ = 12107321081856. Its totient is φ = 1458335232000.

The previous prime is 4368001418993. The next prime is 4368001419049. The reversal of 4368001419040 is 409141008634.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4368001418984 and 4368001419002.

It is not an unprimeable number, because it can be changed into a prime (4368001419049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3548335225 + ... + 3548336455.

It is an arithmetic number, because the mean of its divisors is an integer number (31529481984).

Almost surely, 2^{4368001419040} is an apocalyptic number.

4368001419040 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 4368001419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053660540928).

4368001419040 is an abundant number, since it is smaller than the sum of its proper divisors (7739319662816).

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

4368001419040 is a wasteful number, since it uses less digits than its factorization.

4368001419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 4368001419040 in words is "four trillion, three hundred sixty-eight billion, one million, four hundred nineteen thousand, forty".