4415477040 has 240 divisors, whose sum is σ = 16310706048. Its totient is φ = 1063655424.

The previous prime is 4415476999. The next prime is 4415477057. The reversal of 4415477040 is 407745144.

It is a happy number.

4415477040 is a `hidden beast` number, since 4 + 4 + 1 + 547 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4415476986 and 4415477004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434902 + ... + 444938.

Almost surely, 2^4415477040 is an apocalyptic number.

4415477040 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 4415477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155353024).

4415477040 is an abundant number, since it is smaller than the sum of its proper divisors (11895229008).

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

4415477040 is a wasteful number, since it uses less digits than its factorization.

4415477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 4415477040 is about 66449.0559752356. The cubic root of 4415477040 is about 1640.5616061927.

The spelling of 4415477040 in words is "four billion, four hundred fifteen million, four hundred seventy-seven thousand, forty".