42021866040 has 512 divisors, whose sum is σ = 167065804800. Its totient is φ = 8191272960.

The previous prime is 42021866023. The next prime is 42021866071. The reversal of 42021866040 is 4066812024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42021865992 and 42021866010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18783802 + ... + 18786038.

It is an arithmetic number, because the mean of its divisors is an integer number (326300400).

Almost surely, 2^42021866040 is an apocalyptic number.

42021866040 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 42021866040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83532902400).

42021866040 is an abundant number, since it is smaller than the sum of its proper divisors (125043938760).

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

42021866040 is a wasteful number, since it uses less digits than its factorization.

42021866040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 42021866040 in words is "forty-two billion, twenty-one million, eight hundred sixty-six thousand, forty".