8214809040 has 120 divisors (see below), whose sum is σ = 28478082048. Its totient is φ = 2119944960.

The previous prime is 8214809039. The next prime is 8214809051. The reversal of 8214809040 is 409084128.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 8214808986 and 8214809004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161704 + ... + 206343.

Almost surely, 2^8214809040 is an apocalyptic number.

8214809040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214809040 is an abundant number, since it is smaller than the sum of its proper divisors (20263273008).

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

8214809040 is a wasteful number, since it uses less digits than its factorization.

8214809040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368097 (or 368088 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8214809040 is about 90635.5837406038. The cubic root of 8214809040 is about 2017.7428829166.

The spelling of 8214809040 in words is "eight billion, two hundred fourteen million, eight hundred nine thousand, forty".