424142640 has 120 divisors (see below), whose sum is σ = 1444648608. Its totient is φ = 111498240.

The previous prime is 424142599. The next prime is 424142647. The reversal of 424142640 is 46241424.

It is a happy number.

424142640 is a `hidden beast` number, since 4 + 2 + 4 + 14 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (424142647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46972 + ... + 55268.

Almost surely, 2^424142640 is an apocalyptic number.

424142640 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 424142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722324304).

424142640 is an abundant number, since it is smaller than the sum of its proper divisors (1020505968).

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

424142640 is a wasteful number, since it uses less digits than its factorization.

424142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424142640 is about 20594.7235961059. The cubic root of 424142640 is about 751.3413861473.

It can be divided in two parts, 42414 and 2640, that added together give a palindrome (45054).

The spelling of 424142640 in words is "four hundred twenty-four million, one hundred forty-two thousand, six hundred forty".