4102426027000 has 256 divisors, whose sum is σ = 11482184263680. Its totient is φ = 1341381888000.

The previous prime is 4102426026989. The next prime is 4102426027001. The reversal of 4102426027000 is 7206242014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4102426027000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102426027001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54219195 + ... + 54294805.

It is an arithmetic number, because the mean of its divisors is an integer number (44852282280).

Almost surely, 2^{4102426027000} is an apocalyptic number.

4102426027000 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 4102426027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741092131840).

4102426027000 is an abundant number, since it is smaller than the sum of its proper divisors (7379758236680).

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

4102426027000 is a wasteful number, since it uses less digits than its factorization.

4102426027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75999 (or 75985 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 4102426027000 in words is "four trillion, one hundred two billion, four hundred twenty-six million, twenty-seven thousand".