4102203211040 has 384 divisors, whose sum is σ = 11500543918080. Its totient is φ = 1366112563200.

The previous prime is 4102203211013. The next prime is 4102203211087. The reversal of 4102203211040 is 401123022014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350740402 + ... + 1350743438.

It is an arithmetic number, because the mean of its divisors is an integer number (29949333120).

Almost surely, 2^{4102203211040} is an apocalyptic number.

4102203211040 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 4102203211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750271959040).

4102203211040 is an abundant number, since it is smaller than the sum of its proper divisors (7398340707040).

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

4102203211040 is a wasteful number, since it uses less digits than its factorization.

4102203211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4102203211040 its reverse (401123022014), we get a palindrome (4503326233054).

The spelling of 4102203211040 in words is "four trillion, one hundred two billion, two hundred three million, two hundred eleven thousand, forty".