4211901222048 has 576 divisors, whose sum is σ = 13403959470720. Its totient is φ = 1246525784064.

The previous prime is 4211901222043. The next prime is 4211901222049. The reversal of 4211901222048 is 8402221091124.

4211901222048 is a `hidden beast` number, since 421 + 1 + 9 + 0 + 1 + 2 + 220 + 4 + 8 = 666.

It is a super-2 number, since 2×4211901222048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4211901222043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1853013040 + ... + 1853015312.

It is an arithmetic number, because the mean of its divisors is an integer number (23270762970).

Almost surely, 2^{4211901222048} is an apocalyptic number.

4211901222048 is a gapful number since it is divisible by the number (48) 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 4211901222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701979735360).

4211901222048 is an abundant number, since it is smaller than the sum of its proper divisors (9192058248672).

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

4211901222048 is a wasteful number, since it uses less digits than its factorization.

4211901222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4211901222048 in words is "four trillion, two hundred eleven billion, nine hundred one million, two hundred twenty-two thousand, forty-eight".