4029164969284 has 243 divisors, whose sum is σ = 9137581983621. Its totient is φ = 1549297451520.

The previous prime is 4029164969273. The next prime is 4029164969303. The reversal of 4029164969284 is 4829694619204.

The square root of 4029164969284 is 2007278.

It is a perfect power (a square), and thus also a powerful number.

4029164969284 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 13 ways, for example, as 2375698168900 + 1653466800384 = 1541330^2 + 1285872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14978308302 + ... + 14978308570.

Almost surely, 2^{4029164969284} is an apocalyptic number.

4029164969284 is the 2007278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029164969284

4029164969284 is an abundant number, since it is smaller than the sum of its proper divisors (5108417014337).

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

4029164969284 is a wasteful number, since it uses less digits than its factorization.

4029164969284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

Multiplying 4029164969284 by its sum of digits (64), we get a square (257866558034176 = 16058224²).

The spelling of 4029164969284 in words is "four trillion, twenty-nine billion, one hundred sixty-four million, nine hundred sixty-nine thousand, two hundred eighty-four".