8219399505408 has 2400 divisors, whose sum is σ = 32293103198400. Its totient is φ = 2034673385472.

The previous prime is 8219399505403. The next prime is 8219399505409. The reversal of 8219399505408 is 8045059939128.

8219399505408 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 39 + 9 + 50 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219399505403) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75407334858 + ... + 75407334966.

It is an arithmetic number, because the mean of its divisors is an integer number (13455459666).

Almost surely, 2^{8219399505408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219399505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146551599200).

8219399505408 is an abundant number, since it is smaller than the sum of its proper divisors (24073703692992).

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

8219399505408 is a wasteful number, since it uses less digits than its factorization.

8219399505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 8219399505408 in words is "eight trillion, two hundred nineteen billion, three hundred ninety-nine million, five hundred five thousand, four hundred eight".