4024642140 has 240 divisors, whose sum is σ = 12968857440. Its totient is φ = 1044472320.

The previous prime is 4024642133. The next prime is 4024642217. The reversal of 4024642140 is 412464204.

It is a happy number.

4024642140 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 642 + 14 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13735834 + ... + 13736126.

It is an arithmetic number, because the mean of its divisors is an integer number (54036906).

Almost surely, 2^4024642140 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 4024642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484428720).

4024642140 is an abundant number, since it is smaller than the sum of its proper divisors (8944215300).

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

4024642140 is a wasteful number, since it uses less digits than its factorization.

4024642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

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

The square root of 4024642140 is about 63440.0673076566. The cubic root of 4024642140 is about 1590.6541274369.

The spelling of 4024642140 in words is "four billion, twenty-four million, six hundred forty-two thousand, one hundred forty".