42214824 has 64 divisors (see below), whose sum is σ = 119054400. Its totient is φ = 13856832.

The previous prime is 42214819. The next prime is 42214847. The reversal of 42214824 is 42841224.

42214824 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13014 + ... + 15930.

It is an arithmetic number, because the mean of its divisors is an integer number (1860225).

Almost surely, 2^42214824 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 42214824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527200).

42214824 is an abundant number, since it is smaller than the sum of its proper divisors (76839576).

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

42214824 is a wasteful number, since it uses less digits than its factorization.

42214824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2989 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 42214824 is about 6497.2935904113. The cubic root of 42214824 is about 348.1943029074.

It can be divided in two parts, 4221 and 4824, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 42214824 in words is "forty-two million, two hundred fourteen thousand, eight hundred twenty-four".