4960386240 has 224 divisors, whose sum is σ = 16697187840. Its totient is φ = 1244160000.

The previous prime is 4960386181. The next prime is 4960386247. The reversal of 4960386240 is 426830694.

It is a happy number.

It is a super-3 number, since 3×4960386240³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4960386192 and 4960386201.

It is not an unprimeable number, because it can be changed into a prime (4960386247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753340 + ... + 2755140.

Almost surely, 2^4960386240 is an apocalyptic number.

4960386240 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 4960386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348593920).

4960386240 is an abundant number, since it is smaller than the sum of its proper divisors (11736801600).

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

4960386240 is a wasteful number, since it uses less digits than its factorization.

4960386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4960386240 is about 70430.0095129910. The cubic root of 4960386240 is about 1705.4480626553.

The spelling of 4960386240 in words is "four billion, nine hundred sixty million, three hundred eighty-six thousand, two hundred forty".