4476406440 has 128 divisors (see below), whose sum is σ = 14801512320. Its totient is φ = 1073971200.

The previous prime is 4476406433. The next prime is 4476406481. The reversal of 4476406440 is 446046744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110560 + ... + 145520.

It is an arithmetic number, because the mean of its divisors is an integer number (115636815).

Almost surely, 2^4476406440 is an apocalyptic number.

4476406440 is a gapful number since it is divisible by the number (40) 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 4476406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400756160).

4476406440 is an abundant number, since it is smaller than the sum of its proper divisors (10325105880).

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

4476406440 is a wasteful number, since it uses less digits than its factorization.

4476406440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35083 (or 35079 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The square root of 4476406440 is about 66905.9522015792. The cubic root of 4476406440 is about 1648.0732256479.

The spelling of 4476406440 in words is "four billion, four hundred seventy-six million, four hundred six thousand, four hundred forty".