4014834240 has 336 divisors, whose sum is σ = 14036040000. Its totient is φ = 970948608.

The previous prime is 4014834209. The next prime is 4014834259. The reversal of 4014834240 is 424384104.

It is a super-2 number, since 2×4014834240² = 32237787949352755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4014834198 and 4014834207.

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, 8045511 + ... + 8046009.

Almost surely, 2^4014834240 is an apocalyptic number.

4014834240 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 4014834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018020000).

4014834240 is an abundant number, since it is smaller than the sum of its proper divisors (10021205760).

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

4014834240 is a wasteful number, since it uses less digits than its factorization.

4014834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4014834240 is about 63362.7196386014. The cubic root of 4014834240 is about 1589.3609551701.

The spelling of 4014834240 in words is "four billion, fourteen million, eight hundred thirty-four thousand, two hundred forty".