4642410240 has 288 divisors, whose sum is σ = 17743064640. Its totient is φ = 1142636544.

The previous prime is 4642410217. The next prime is 4642410251. The reversal of 4642410240 is 420142464.

It is a happy number.

4642410240 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 410 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444114 + ... + 454446.

Almost surely, 2^4642410240 is an apocalyptic number.

4642410240 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 4642410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871532320).

4642410240 is an abundant number, since it is smaller than the sum of its proper divisors (13100654400).

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

4642410240 is a wasteful number, since it uses less digits than its factorization.

4642410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10356 counting only the distinct ones).

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

The square root of 4642410240 is about 68135.2349375857. The cubic root of 4642410240 is about 1668.1989307794.

The spelling of 4642410240 in words is "four billion, six hundred forty-two million, four hundred ten thousand, two hundred forty".