4069638144 has 360 divisors, whose sum is σ = 13883246832. Its totient is φ = 1132462080.

The previous prime is 4069638113. The next prime is 4069638151. The reversal of 4069638144 is 4418369604.

4069638144 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4069638144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21086112 + ... + 21086304.

Almost surely, 2^4069638144 is an apocalyptic number.

4069638144 is a gapful number since it is divisible by the number (44) 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 4069638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941623416).

4069638144 is an abundant number, since it is smaller than the sum of its proper divisors (9813608688).

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

4069638144 is a wasteful number, since it uses less digits than its factorization.

4069638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4069638144 is about 63793.7155525527. The cubic root of 4069638144 is about 1596.5600762948.

The spelling of 4069638144 in words is "four billion, sixty-nine million, six hundred thirty-eight thousand, one hundred forty-four".