40960823680 has 256 divisors, whose sum is σ = 115205328000. Its totient is φ = 13633781760.

The previous prime is 40960823653. The next prime is 40960823749. The reversal of 40960823680 is 8632806904.

It is a happy number.

40960823680 is a modest number, since divided by 823680 gives 40960 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 40960823680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49409506 + ... + 49410334.

Almost surely, 2^40960823680 is an apocalyptic number.

40960823680 is a gapful number since it is divisible by the number (40) 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 40960823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57602664000).

40960823680 is an abundant number, since it is smaller than the sum of its proper divisors (74244504320).

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

40960823680 is a wasteful number, since it uses less digits than its factorization.

40960823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 40960823680 in words is "forty billion, nine hundred sixty million, eight hundred twenty-three thousand, six hundred eighty".