4214923128 has 160 divisors (see below), whose sum is σ = 12751754400. Its totient is φ = 1293034752.

The previous prime is 4214923127. The next prime is 4214923171. The reversal of 4214923128 is 8213294124.

4214923128 is a `hidden beast` number, since 42 + 1 + 492 + 3 + 128 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4214923092 and 4214923101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214923127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4287325 + ... + 4288307.

It is an arithmetic number, because the mean of its divisors is an integer number (79698465).

Almost surely, 2^4214923128 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 4214923128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375877200).

4214923128 is an abundant number, since it is smaller than the sum of its proper divisors (8536831272).

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

4214923128 is a wasteful number, since it uses less digits than its factorization.

4214923128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4214923128 is about 64922.4393257062. The cubic root of 4214923128 is about 1615.3372921898.

The spelling of 4214923128 in words is "four billion, two hundred fourteen million, nine hundred twenty-three thousand, one hundred twenty-eight".