8214359040 has 440 divisors, whose sum is σ = 30495223440. Its totient is φ = 2111864832.

The previous prime is 8214359039. The next prime is 8214359107. The reversal of 8214359040 is 409534128.

8214359040 is a `hidden beast` number, since 8 + 21 + 4 + 3 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8214358986 and 8214359004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026539 + ... + 12027221.

It is an arithmetic number, because the mean of its divisors is an integer number (69307326).

Almost surely, 2^8214359040 is an apocalyptic number.

8214359040 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 8214359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247611720).

8214359040 is an abundant number, since it is smaller than the sum of its proper divisors (22280864400).

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

8214359040 is a wasteful number, since it uses less digits than its factorization.

8214359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8214359040 is about 90633.1012379031. The cubic root of 8214359040 is about 2017.7060388515.

The spelling of 8214359040 in words is "eight billion, two hundred fourteen million, three hundred fifty-nine thousand, forty".