8534189040 has 240 divisors, whose sum is σ = 30335210208. Its totient is φ = 1976991744.

The previous prime is 8534189039. The next prime is 8534189047. The reversal of 8534189040 is 409814358.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8534189040² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8534188983 and 8534189001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8534189047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683332 + ... + 695708.

Almost surely, 2^8534189040 is an apocalyptic number.

8534189040 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 8534189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167605104).

8534189040 is an abundant number, since it is smaller than the sum of its proper divisors (21801021168).

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

8534189040 is a wasteful number, since it uses less digits than its factorization.

8534189040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8534189040 is about 92380.6746024297. The cubic root of 8534189040 is about 2043.5601232758.

The spelling of 8534189040 in words is "eight billion, five hundred thirty-four million, one hundred eighty-nine thousand, forty".