8145529440 has 96 divisors (see below), whose sum is σ = 25698236256. Its totient is φ = 2168770560.

The previous prime is 8145529433. The next prime is 8145529451. The reversal of 8145529440 is 449255418.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8145529392 and 8145529401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304444 + ... + 330116.

It is an arithmetic number, because the mean of its divisors is an integer number (267689961).

Almost surely, 2^8145529440 is an apocalyptic number.

8145529440 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 8145529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849118128).

8145529440 is an abundant number, since it is smaller than the sum of its proper divisors (17552706816).

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

8145529440 is a wasteful number, since it uses less digits than its factorization.

8145529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26352 (or 26344 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 8145529440 is about 90252.5868881330. The cubic root of 8145529440 is about 2012.0546500629.

The spelling of 8145529440 in words is "eight billion, one hundred forty-five million, five hundred twenty-nine thousand, four hundred forty".