8512381440 has 480 divisors, whose sum is σ = 31667366016. Its totient is φ = 2105671680.

The previous prime is 8512381429. The next prime is 8512381511. The reversal of 8512381440 is 441832158.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 8512381395 and 8512381404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40342935 + ... + 40343145.

Almost surely, 2^8512381440 is an apocalyptic number.

8512381440 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 8512381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833683008).

8512381440 is an abundant number, since it is smaller than the sum of its proper divisors (23154984576).

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

8512381440 is a wasteful number, since it uses less digits than its factorization.

8512381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8512381440 is about 92262.5679243755. The cubic root of 8512381440 is about 2041.8179872258.

The spelling of 8512381440 in words is "eight billion, five hundred twelve million, three hundred eighty-one thousand, four hundred forty".