40895382528 has 1188 divisors, whose sum is σ = 165807393024. Its totient is φ = 9488793600.

The previous prime is 40895382509. The next prime is 40895382551. The reversal of 40895382528 is 82528359804.

It is a happy number.

40895382528 is a `hidden beast` number, since 4 + 0 + 89 + 5 + 38 + 2 + 528 = 666.

It is a super-2 number, since 2×40895382528² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1319205873 + ... + 1319205903.

Almost surely, 2^40895382528 is an apocalyptic number.

40895382528 is a gapful number since it is divisible by the number (48) 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 40895382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82903696512).

40895382528 is an abundant number, since it is smaller than the sum of its proper divisors (124912010496).

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

40895382528 is a wasteful number, since it uses less digits than its factorization.

40895382528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 40895382528 in words is "forty billion, eight hundred ninety-five million, three hundred eighty-two thousand, five hundred twenty-eight".