4481409240 has 960 divisors, whose sum is σ = 20022266880. Its totient is φ = 878169600.

The previous prime is 4481409211. The next prime is 4481409269. The reversal of 4481409240 is 429041844.

4481409240 = T₁₁₂₀₀ + T₁₁₂₀₁ + ... + T₁₁₂₇₀.

4481409240 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 409 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4481409211) and next prime (4481409269).

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 = 4481409195 and 4481409204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63118405 + ... + 63118475.

It is an arithmetic number, because the mean of its divisors is an integer number (20856528).

Almost surely, 2^4481409240 is an apocalyptic number.

4481409240 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 4481409240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011133440).

4481409240 is an abundant number, since it is smaller than the sum of its proper divisors (15540857640).

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

4481409240 is a wasteful number, since it uses less digits than its factorization.

4481409240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4481409240 is about 66943.3285697686. The cubic root of 4481409240 is about 1648.6869553765.

The spelling of 4481409240 in words is "four billion, four hundred eighty-one million, four hundred nine thousand, two hundred forty".