4476479040 has 896 divisors, whose sum is σ = 18902476800. Its totient is φ = 985374720.

The previous prime is 4476479027. The next prime is 4476479041. The reversal of 4476479040 is 409746744.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4476479041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66813087 + ... + 66813153.

Almost surely, 2^4476479040 is an apocalyptic number.

4476479040 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 4476479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451238400).

4476479040 is an abundant number, since it is smaller than the sum of its proper divisors (14425997760).

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

4476479040 is a wasteful number, since it uses less digits than its factorization.

4476479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4476479040 is about 66906.4947520045. The cubic root of 4476479040 is about 1648.0821352849.

The spelling of 4476479040 in words is "four billion, four hundred seventy-six million, four hundred seventy-nine thousand, forty".