8820346429440 has 1344 divisors, whose sum is σ = 37821962610432. Its totient is φ = 1851575500800.

The previous prime is 8820346429423. The next prime is 8820346429451. The reversal of 8820346429440 is 449246430288.

It is a happy number.

8820346429440 is a `hidden beast` number, since 8 + 8 + 2 + 0 + 346 + 4 + 294 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8820346429440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8084643295 + ... + 8084644385.

It is an arithmetic number, because the mean of its divisors is an integer number (28141341228).

Almost surely, 2^{8820346429440} is an apocalyptic number.

8820346429440 is a gapful number since it is divisible by the number (80) 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 8820346429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910981305216).

8820346429440 is an abundant number, since it is smaller than the sum of its proper divisors (29001616180992).

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

8820346429440 is a wasteful number, since it uses less digits than its factorization.

8820346429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 8820346429440 in words is "eight trillion, eight hundred twenty billion, three hundred forty-six million, four hundred twenty-nine thousand, four hundred forty".