4202241002190 has 384 divisors, whose sum is σ = 14256422848512. Its totient is φ = 832738959360.

The previous prime is 4202241002153. The next prime is 4202241002243. The reversal of 4202241002190 is 912001422024.

4202241002190 is a `hidden beast` number, since 4 + 202 + 241 + 0 + 0 + 219 + 0 = 666.

It is a super-2 number, since 2×4202241002190² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53675314 + ... + 53753546.

It is an arithmetic number, because the mean of its divisors is an integer number (37126101168).

Almost surely, 2^{4202241002190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202241002190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128211424256).

4202241002190 is an abundant number, since it is smaller than the sum of its proper divisors (10054181846322).

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

4202241002190 is a wasteful number, since it uses less digits than its factorization.

4202241002190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78624 (or 78621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 4202241002190 in words is "four trillion, two hundred two billion, two hundred forty-one million, two thousand, one hundred ninety".