40828365984 has 192 divisors, whose sum is σ = 128825303040. Its totient is φ = 11075650560.

The previous prime is 40828365983. The next prime is 40828365997. The reversal of 40828365984 is 48956382804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40828365983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085607 + ... + 1122585.

It is an arithmetic number, because the mean of its divisors is an integer number (670965120).

Almost surely, 2^40828365984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40828365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64412651520).

40828365984 is an abundant number, since it is smaller than the sum of its proper divisors (87996937056).

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

40828365984 is a wasteful number, since it uses less digits than its factorization.

40828365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37083 (or 37075 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 40828365984 in words is "forty billion, eight hundred twenty-eight million, three hundred sixty-five thousand, nine hundred eighty-four".