4213801305000 has 2560 divisors, whose sum is σ = 18583551360000. Its totient is φ = 880588800000.

The previous prime is 4213801304941. The next prime is 4213801305011. The reversal of 4213801305000 is 5031083124.

It is a happy number.

4213801305000 is a `hidden beast` number, since 4 + 21 + 3 + 8 + 0 + 130 + 500 + 0 = 666.

It is a super-2 number, since 2×4213801305000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 41720804950 + ... + 41720805050.

It is an arithmetic number, because the mean of its divisors is an integer number (7259199750).

Almost surely, 2^{4213801305000} is an apocalyptic number.

4213801305000 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 4213801305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291775680000).

4213801305000 is an abundant number, since it is smaller than the sum of its proper divisors (14369750055000).

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

4213801305000 is a wasteful number, since it uses less digits than its factorization.

4213801305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 4213801305000 its reverse (5031083124), we get a palindrome (4218832388124).

The spelling of 4213801305000 in words is "four trillion, two hundred thirteen billion, eight hundred one million, three hundred five thousand".