4210121403040 has 288 divisors, whose sum is σ = 12003707520000. Its totient is φ = 1389871042560.

The previous prime is 4210121402933. The next prime is 4210121403049. The reversal of 4210121403040 is 403041210124.

It is a happy number.

4210121403040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4210121403049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48321436 + ... + 48408484.

It is an arithmetic number, because the mean of its divisors is an integer number (41679540000).

Almost surely, 2^{4210121403040} is an apocalyptic number.

4210121403040 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 4210121403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001853760000).

4210121403040 is an abundant number, since it is smaller than the sum of its proper divisors (7793586116960).

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

4210121403040 is a wasteful number, since it uses less digits than its factorization.

4210121403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87308 (or 87293 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4210121403040 its reverse (403041210124), we get a palindrome (4613162613164).

The spelling of 4210121403040 in words is "four trillion, two hundred ten billion, one hundred twenty-one million, four hundred three thousand, forty".