4211241081948 has 384 divisors, whose sum is σ = 11937486274560. Its totient is φ = 1278777507840.

The previous prime is 4211241081907. The next prime is 4211241081959. The reversal of 4211241081948 is 8491801421124.

4211241081948 is a `hidden beast` number, since 4 + 2 + 112 + 410 + 81 + 9 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3246908436 + ... + 3246909732.

It is an arithmetic number, because the mean of its divisors is an integer number (31087203840).

Almost surely, 2^{4211241081948} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211241081948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968743137280).

4211241081948 is an abundant number, since it is smaller than the sum of its proper divisors (7726245192612).

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

4211241081948 is a wasteful number, since it uses less digits than its factorization.

4211241081948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 4211241081948 in words is "four trillion, two hundred eleven billion, two hundred forty-one million, eighty-one thousand, nine hundred forty-eight".