4214541672 has 256 divisors, whose sum is σ = 13631846400. Its totient is φ = 1192320000.

The previous prime is 4214541649. The next prime is 4214541673. The reversal of 4214541672 is 2761454124.

4214541672 is a `hidden beast` number, since 42 + 1 + 4 + 541 + 6 + 72 = 666.

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 (4214541673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6098847 + ... + 6099537.

It is an arithmetic number, because the mean of its divisors is an integer number (53249400).

Almost surely, 2^4214541672 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 4214541672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815923200).

4214541672 is an abundant number, since it is smaller than the sum of its proper divisors (9417304728).

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

4214541672 is a wasteful number, since it uses less digits than its factorization.

4214541672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4214541672 is about 64919.5014768290. The cubic root of 4214541672 is about 1615.2885606809.

Adding to 4214541672 its reverse (2761454124), we get a palindrome (6975995796).

The spelling of 4214541672 in words is "four billion, two hundred fourteen million, five hundred forty-one thousand, six hundred seventy-two".