4000439164212 has 216 divisors, whose sum is σ = 11333500234056. Its totient is φ = 1184924160000.

The previous prime is 4000439164153. The next prime is 4000439164219. The reversal of 4000439164212 is 2124619340004.

4000439164212 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 4 + 3 + 9 + 1 + 642 + 1 + 2 = 666.

4000439164212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47682836496 + 3952756327716 = 218364^2 + 1988154^2 .

It is a super-2 number, since 2×4000439164212² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000439164219) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24030462 + ... + 24196362.

It is an arithmetic number, because the mean of its divisors is an integer number (52469908491).

Almost surely, 2^{4000439164212} 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 4000439164212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666750117028).

4000439164212 is an abundant number, since it is smaller than the sum of its proper divisors (7333061069844).

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

4000439164212 is a wasteful number, since it uses less digits than its factorization.

4000439164212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166031 (or 165995 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4000439164212 in words is "four trillion, four hundred thirty-nine million, one hundred sixty-four thousand, two hundred twelve".