4241626197120 has 1792 divisors, whose sum is σ = 17908540231680. Its totient is φ = 950259548160.

The previous prime is 4241626197101. The next prime is 4241626197173. The reversal of 4241626197120 is 217916261424.

4241626197120 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 6 + 2 + 619 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3196401897 + ... + 3196403223.

It is an arithmetic number, because the mean of its divisors is an integer number (9993605040).

Almost surely, 2^{4241626197120} is an apocalyptic number.

4241626197120 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 4241626197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8954270115840).

4241626197120 is an abundant number, since it is smaller than the sum of its proper divisors (13666914034560).

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

4241626197120 is a wasteful number, since it uses less digits than its factorization.

4241626197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4241626197120 in words is "four trillion, two hundred forty-one billion, six hundred twenty-six million, one hundred ninety-seven thousand, one hundred twenty".