4014392006952 has 192 divisors, whose sum is σ = 11182486395600. Its totient is φ = 1300499988480.

The previous prime is 4014392006939. The next prime is 4014392006959. The reversal of 4014392006952 is 2596002934104.

4014392006952 is a `hidden beast` number, since 4 + 0 + 1 + 439 + 200 + 6 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 938135593476 + 3076256413476 = 968574^2 + 1753926^2 .

It is a super-2 number, since 2×4014392006952² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014392006898 and 4014392006907.

It is not an unprimeable number, because it can be changed into a prime (4014392006959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779037208 + ... + 779042360.

Almost surely, 2^{4014392006952} 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 4014392006952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591243197800).

4014392006952 is an abundant number, since it is smaller than the sum of its proper divisors (7168094388648).

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

4014392006952 is a wasteful number, since it uses less digits than its factorization.

4014392006952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4014392006952 in words is "four trillion, fourteen billion, three hundred ninety-two million, six thousand, nine hundred fifty-two".