8314356240 has 320 divisors, whose sum is σ = 29746667520. Its totient is φ = 2132282880.

The previous prime is 8314356233. The next prime is 8314356263. The reversal of 8314356240 is 426534138.

8314356240 is a `hidden beast` number, since 83 + 14 + 3 + 562 + 4 + 0 = 666.

It is a super-4 number, since 4×8314356240⁴ (a number of 41 digits) contains 4444 as substring.

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 = 8314356195 and 8314356204.

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, 15199647 + ... + 15200193.

It is an arithmetic number, because the mean of its divisors is an integer number (92958336).

Almost surely, 2^8314356240 is an apocalyptic number.

8314356240 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 8314356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873333760).

8314356240 is an abundant number, since it is smaller than the sum of its proper divisors (21432311280).

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

8314356240 is a wasteful number, since it uses less digits than its factorization.

8314356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8314356240 is about 91183.0918536984. The cubic root of 8314356240 is about 2025.8605286403.

The spelling of 8314356240 in words is "eight billion, three hundred fourteen million, three hundred fifty-six thousand, two hundred forty".