40839676416 has 1120 divisors, whose sum is σ = 161012016000. Its totient is φ = 10241925120.

The previous prime is 40839676411. The next prime is 40839676457. The reversal of 40839676416 is 61467693804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40839676411) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1408264690 + ... + 1408264718.

Almost surely, 2^40839676416 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 40839676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80506008000).

40839676416 is an abundant number, since it is smaller than the sum of its proper divisors (120172339584).

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

40839676416 is an frugal number, since it uses more digits than its factorization.

40839676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40839676416 in words is "forty billion, eight hundred thirty-nine million, six hundred seventy-six thousand, four hundred sixteen".