8140451844 has 144 divisors (see below), whose sum is σ = 23089207680. Its totient is φ = 2184053760.

The previous prime is 8140451791. The next prime is 8140451857. The reversal of 8140451844 is 4481540418.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3333664 + ... + 3336104.

It is an arithmetic number, because the mean of its divisors is an integer number (160341720).

Almost surely, 2^8140451844 is an apocalyptic number.

8140451844 is a gapful number since it is divisible by the number (84) 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 8140451844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11544603840).

8140451844 is an abundant number, since it is smaller than the sum of its proper divisors (14948755836).

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

8140451844 is a wasteful number, since it uses less digits than its factorization.

8140451844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 8140451844 is about 90224.4525835430. The cubic root of 8140451844 is about 2011.6364851343.

The spelling of 8140451844 in words is "eight billion, one hundred forty million, four hundred fifty-one thousand, eight hundred forty-four".