4476227421440 has 288 divisors, whose sum is σ = 10975033585152. Its totient is φ = 1748791296000.

The previous prime is 4476227421373. The next prime is 4476227421451. The reversal of 4476227421440 is 441247226744.

It is a super-2 number, since 2×4476227421440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 8273987570 + ... + 8273988110.

It is an arithmetic number, because the mean of its divisors is an integer number (38107755504).

Almost surely, 2^{4476227421440} is an apocalyptic number.

4476227421440 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 4476227421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487516792576).

4476227421440 is an abundant number, since it is smaller than the sum of its proper divisors (6498806163712).

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

4476227421440 is a wasteful number, since it uses less digits than its factorization.

4476227421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 47.

The spelling of 4476227421440 in words is "four trillion, four hundred seventy-six billion, two hundred twenty-seven million, four hundred twenty-one thousand, four hundred forty".