8421459840 has 160 divisors (see below), whose sum is σ = 30074738760. Its totient is φ = 2245708800.

The previous prime is 8421459817. The next prime is 8421459899. The reversal of 8421459840 is 489541248.

8421459840 is a `hidden beast` number, since 8 + 4 + 2 + 14 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29386 + ... + 133065.

Almost surely, 2^8421459840 is an apocalyptic number.

8421459840 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 8421459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037369380).

8421459840 is an abundant number, since it is smaller than the sum of its proper divisors (21653278920).

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

8421459840 is a wasteful number, since it uses less digits than its factorization.

8421459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162482 (or 162461 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8421459840 is about 91768.5122468486. The cubic root of 8421459840 is about 2034.5223291123.

The spelling of 8421459840 in words is "eight billion, four hundred twenty-one million, four hundred fifty-nine thousand, eight hundred forty".