8414349840 has 480 divisors, whose sum is σ = 32133943296. Its totient is φ = 1958584320.

The previous prime is 8414349817. The next prime is 8414349863. The reversal of 8414349840 is 489434148.

8414349840 is a `hidden beast` number, since 84 + 1 + 43 + 498 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (8414349817) and next prime (8414349863).

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

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, 13637212 + ... + 13637828.

Almost surely, 2^8414349840 is an apocalyptic number.

8414349840 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 8414349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066971648).

8414349840 is an abundant number, since it is smaller than the sum of its proper divisors (23719593456).

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

8414349840 is a wasteful number, since it uses less digits than its factorization.

8414349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8414349840 is about 91729.7652891361. The cubic root of 8414349840 is about 2033.9496047126.

The spelling of 8414349840 in words is "eight billion, four hundred fourteen million, three hundred forty-nine thousand, eight hundred forty".