4014138240 has 384 divisors, whose sum is σ = 16392542400. Its totient is φ = 885620736.

The previous prime is 4014138239. The next prime is 4014138257. The reversal of 4014138240 is 428314104.

4014138240 is a `hidden beast` number, since 4 + 0 + 1 + 413 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4014138240² = 32226611619660595200, which contains 22 as substring.

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, 1167564 + ... + 1170996.

Almost surely, 2^4014138240 is an apocalyptic number.

4014138240 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 4014138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196271200).

4014138240 is an abundant number, since it is smaller than the sum of its proper divisors (12378404160).

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

4014138240 is a wasteful number, since it uses less digits than its factorization.

4014138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4014138240 is about 63357.2272120553. The cubic root of 4014138240 is about 1589.2691075298.

The spelling of 4014138240 in words is "four billion, fourteen million, one hundred thirty-eight thousand, two hundred forty".