4484880217440 has 384 divisors, whose sum is σ = 17952866749440. Its totient is φ = 1024352870400.

The previous prime is 4484880217423. The next prime is 4484880217451. The reversal of 4484880217440 is 447120884844.

It is a happy number.

4484880217440 is a `hidden beast` number, since 44 + 84 + 8 + 80 + 2 + 1 + 7 + 440 = 666.

It is a super-2 number, since 2×4484880217440² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41102155 + ... + 41211125.

It is an arithmetic number, because the mean of its divisors is an integer number (46752257160).

Almost surely, 2^{4484880217440} is an apocalyptic number.

4484880217440 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 4484880217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976433374720).

4484880217440 is an abundant number, since it is smaller than the sum of its proper divisors (13467986532000).

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

4484880217440 is a wasteful number, since it uses less digits than its factorization.

4484880217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110363 (or 110349 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 54.

The spelling of 4484880217440 in words is "four trillion, four hundred eighty-four billion, eight hundred eighty million, two hundred seventeen thousand, four hundred forty".