4001214040 has 64 divisors (see below), whose sum is σ = 9276845760. Its totient is φ = 1552043520.

The previous prime is 4001214031. The next prime is 4001214059. The reversal of 4001214040 is 404121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455934 + ... + 464626.

It is an arithmetic number, because the mean of its divisors is an integer number (144950715).

Almost surely, 2^4001214040 is an apocalyptic number.

4001214040 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 4001214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638422880).

4001214040 is an abundant number, since it is smaller than the sum of its proper divisors (5275631720).

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

4001214040 is a wasteful number, since it uses less digits than its factorization.

4001214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4001214040 is about 63255.1503041452. The cubic root of 4001214040 is about 1587.5616330877.

Adding to 4001214040 its reverse (404121004), we get a palindrome (4405335044).

The spelling of 4001214040 in words is "four billion, one million, two hundred fourteen thousand, forty".