4260291840 has 432 divisors, whose sum is σ = 17585987328. Its totient is φ = 931037184.

The previous prime is 4260291809. The next prime is 4260291941. The reversal of 4260291840 is 481920624.

4260291840 is a `hidden beast` number, since 4 + 2 + 602 + 9 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4260291795 and 4260291804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853572 + ... + 1855868.

It is an arithmetic number, because the mean of its divisors is an integer number (40708304).

Almost surely, 2^4260291840 is an apocalyptic number.

4260291840 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 4260291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792993664).

4260291840 is an abundant number, since it is smaller than the sum of its proper divisors (13325695488).

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

4260291840 is a wasteful number, since it uses less digits than its factorization.

4260291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4260291840 is about 65270.9111319890. The cubic root of 4260291840 is about 1621.1123590330.

The spelling of 4260291840 in words is "four billion, two hundred sixty million, two hundred ninety-one thousand, eight hundred forty".