42021000126 has 128 divisors (see below), whose sum is σ = 108564480000. Its totient is φ = 11799901152.

The previous prime is 42021000103. The next prime is 42021000143. The reversal of 42021000126 is 62100012024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42021000099 and 42021000108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6775575 + ... + 6781773.

It is an arithmetic number, because the mean of its divisors is an integer number (848160000).

Almost surely, 2^42021000126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42021000126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240000).

42021000126 is an abundant number, since it is smaller than the sum of its proper divisors (66543479874).

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

42021000126 is a wasteful number, since it uses less digits than its factorization.

42021000126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 42021000126 in words is "forty-two billion, twenty-one million, one hundred twenty-six", and thus it is an aban number.