4000354440 has 32 divisors (see below), whose sum is σ = 12001063680. Its totient is φ = 1066761152.

The previous prime is 4000354429. The next prime is 4000354447. The reversal of 4000354440 is 444530004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4000354440.

It is not an unprimeable number, because it can be changed into a prime (4000354447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16668024 + ... + 16668263.

It is an arithmetic number, because the mean of its divisors is an integer number (375033240).

Almost surely, 2^4000354440 is an apocalyptic number.

4000354440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000354440 is an abundant number, since it is smaller than the sum of its proper divisors (8000709240).

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

4000354440 is a wasteful number, since it uses less digits than its factorization.

4000354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336301 (or 33336297 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4000354440 is about 63248.3552355316. The cubic root of 4000354440 is about 1587.4479371191.

Adding to 4000354440 its reverse (444530004), we get a palindrome (4444884444).

The spelling of 4000354440 in words is "four billion, three hundred fifty-four thousand, four hundred forty".