40830982128 has 90 divisors (see below), whose sum is σ = 114792441504. Its totient is φ = 13548387456.

The previous prime is 40830982123. The next prime is 40830982163. The reversal of 40830982128 is 82128903804.

40830982128 is a `hidden beast` number, since 408 + 30 + 98 + 2 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40830982123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7548801 + ... + 7554207.

Almost surely, 2^40830982128 is an apocalyptic number.

40830982128 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 40830982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57396220752).

40830982128 is an abundant number, since it is smaller than the sum of its proper divisors (73961459376).

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

40830982128 is a wasteful number, since it uses less digits than its factorization.

40830982128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 40830982128 in words is "forty billion, eight hundred thirty million, nine hundred eighty-two thousand, one hundred twenty-eight".