8213554621440 has 704 divisors, whose sum is σ = 33614588113920. Its totient is φ = 1863023984640.

The previous prime is 8213554621381. The next prime is 8213554621453. The reversal of 8213554621440 is 441264553128.

8213554621440 is a `hidden beast` number, since 8 + 2 + 1 + 355 + 46 + 214 + 40 = 666.

It is a super-3 number, since 3×8213554621440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126733684 + ... + 126798476.

It is an arithmetic number, because the mean of its divisors is an integer number (47747994480).

Almost surely, 2^{8213554621440} is an apocalyptic number.

8213554621440 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 8213554621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807294056960).

8213554621440 is an abundant number, since it is smaller than the sum of its proper divisors (25401033492480).

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

8213554621440 is a wasteful number, since it uses less digits than its factorization.

8213554621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64965 (or 64941 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 8213554621440 in words is "eight trillion, two hundred thirteen billion, five hundred fifty-four million, six hundred twenty-one thousand, four hundred forty".