4026363003000 has 768 divisors, whose sum is σ = 15429680098560. Its totient is φ = 939552768000.

The previous prime is 4026363002983. The next prime is 4026363003007. The reversal of 4026363003000 is 3003636204.

4026363003000 is a `hidden beast` number, since 4 + 0 + 26 + 3 + 630 + 0 + 3 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4026363003007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304076380 + ... + 304089620.

It is an arithmetic number, because the mean of its divisors is an integer number (20090729295).

Almost surely, 2^{4026363003000} is an apocalyptic number.

4026363003000 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 4026363003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714840049280).

4026363003000 is an abundant number, since it is smaller than the sum of its proper divisors (11403317095560).

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

4026363003000 is a wasteful number, since it uses less digits than its factorization.

4026363003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13417 (or 13400 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 4026363003000 its reverse (3003636204), we get a palindrome (4029366639204).

The spelling of 4026363003000 in words is "four trillion, twenty-six billion, three hundred sixty-three million, three thousand".