4005654444 has 180 divisors, whose sum is σ = 12138153720. Its totient is φ = 1142138880.

The previous prime is 4005654437. The next prime is 4005654481. The reversal of 4005654444 is 4444565004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4005654399 and 4005654408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1028052 + ... + 1031940.

Almost surely, 2^4005654444 is an apocalyptic number.

4005654444 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 4005654444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069076860).

4005654444 is an abundant number, since it is smaller than the sum of its proper divisors (8132499276).

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

4005654444 is a wasteful number, since it uses less digits than its factorization.

4005654444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4005654444 is about 63290.2397214610. The cubic root of 4005654444 is about 1588.1486889856.

The spelling of 4005654444 in words is "four billion, five million, six hundred fifty-four thousand, four hundred forty-four".