4211854848000 has 1248 divisors, whose sum is σ = 15953538619200. Its totient is φ = 1108397260800.

The previous prime is 4211854847953. The next prime is 4211854848077. The reversal of 4211854848000 is 8484581124.

4211854848000 is a `hidden beast` number, since 4 + 2 + 11 + 85 + 484 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×4211854848000² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 12068351826 + ... + 12068352174.

It is an arithmetic number, because the mean of its divisors is an integer number (12783284150).

Almost surely, 2^{4211854848000} is an apocalyptic number.

4211854848000 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 4211854848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976769309600).

4211854848000 is an abundant number, since it is smaller than the sum of its proper divisors (11741683771200).

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

4211854848000 is an frugal number, since it uses more digits than its factorization.

4211854848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 4211854848000 in words is "four trillion, two hundred eleven billion, eight hundred fifty-four million, eight hundred forty-eight thousand".