4126721302000 has 640 divisors, whose sum is σ = 11905158021120. Its totient is φ = 1366830720000.

The previous prime is 4126721301961. The next prime is 4126721302003. The reversal of 4126721302000 is 2031276214.

It is a self number, because there is not a number n which added to its sum of digits gives 4126721302000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126721302003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2163985047 + ... + 2163986953.

It is an arithmetic number, because the mean of its divisors is an integer number (18601809408).

Almost surely, 2^{4126721302000} is an apocalyptic number.

4126721302000 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 4126721302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952579010560).

4126721302000 is an abundant number, since it is smaller than the sum of its proper divisors (7778436719120).

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

4126721302000 is a wasteful number, since it uses less digits than its factorization.

4126721302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 4126721302000 its reverse (2031276214), we get a palindrome (4128752578214).

The spelling of 4126721302000 in words is "four trillion, one hundred twenty-six billion, seven hundred twenty-one million, three hundred two thousand".