4413227034240 has 1024 divisors, whose sum is σ = 16465571136000. Its totient is φ = 1115659173888.

The previous prime is 4413227034193. The next prime is 4413227034299. The reversal of 4413227034240 is 424307223144.

4413227034240 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 2 + 270 + 342 + 40 = 666.

It is a super-2 number, since 2×4413227034240² (a number of 26 digits) contains 22 as substring.

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 = 4413227034195 and 4413227034204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7923208042 + ... + 7923208598.

Almost surely, 2^{4413227034240} is an apocalyptic number.

4413227034240 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 4413227034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232785568000).

4413227034240 is an abundant number, since it is smaller than the sum of its proper divisors (12052344101760).

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

4413227034240 is a wasteful number, since it uses less digits than its factorization.

4413227034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 4413227034240 in words is "four trillion, four hundred thirteen billion, two hundred twenty-seven million, thirty-four thousand, two hundred forty".