4205942231040 has 1248 divisors, whose sum is σ = 16701550175232. Its totient is φ = 969670656000.

The previous prime is 4205942230951. The next prime is 4205942231041. The reversal of 4205942231040 is 401322495024.

It is a happy number.

4205942231040 is a `hidden beast` number, since 4 + 2 + 0 + 594 + 2 + 23 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4205942230986 and 4205942231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205942231041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3834039772 + ... + 3834040868.

It is an arithmetic number, because the mean of its divisors is an integer number (13382652384).

Almost surely, 2^{4205942231040} is an apocalyptic number.

4205942231040 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 4205942231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350775087616).

4205942231040 is an abundant number, since it is smaller than the sum of its proper divisors (12495607944192).

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

4205942231040 is a wasteful number, since it uses less digits than its factorization.

4205942231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4205942231040 in words is "four trillion, two hundred five billion, nine hundred forty-two million, two hundred thirty-one thousand, forty".