4014125016 has 128 divisors (see below), whose sum is σ = 11463379200. Its totient is φ = 1160122880.

The previous prime is 4014124999. The next prime is 4014125029. The reversal of 4014125016 is 6105214104.

It is a happy number.

It is a super-3 number, since 3×4014125016³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632290 + ... + 638606.

It is an arithmetic number, because the mean of its divisors is an integer number (89557650).

Almost surely, 2^4014125016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014125016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731689600).

4014125016 is an abundant number, since it is smaller than the sum of its proper divisors (7449254184).

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

4014125016 is a wasteful number, since it uses less digits than its factorization.

4014125016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 4014125016 is about 63357.1228513417. The cubic root of 4014125016 is about 1589.2673623219.

The spelling of 4014125016 in words is "four billion, fourteen million, one hundred twenty-five thousand, sixteen".