4142987240 has 256 divisors, whose sum is σ = 11957760000. Its totient is φ = 1285320960.

The previous prime is 4142987209. The next prime is 4142987279. The reversal of 4142987240 is 427892414.

It is a super-3 number, since 3×4142987240³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5995295 + ... + 5995985.

It is an arithmetic number, because the mean of its divisors is an integer number (46710000).

Almost surely, 2^4142987240 is an apocalyptic number.

4142987240 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 4142987240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978880000).

4142987240 is an abundant number, since it is smaller than the sum of its proper divisors (7814772760).

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

4142987240 is a wasteful number, since it uses less digits than its factorization.

4142987240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 4142987240 is about 64366.0410465022. The cubic root of 4142987240 is about 1606.0948834750.

The spelling of 4142987240 in words is "four billion, one hundred forty-two million, nine hundred eighty-seven thousand, two hundred forty".