40513320960 has 384 divisors, whose sum is σ = 148863536640. Its totient is φ = 9214230528.

The previous prime is 40513320949. The next prime is 40513320961. The reversal of 40513320960 is 6902331504.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40513320961) by changing a digit.

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, 63006399 + ... + 63007041.

It is an arithmetic number, because the mean of its divisors is an integer number (387665460).

Almost surely, 2^40513320960 is an apocalyptic number.

40513320960 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 40513320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74431768320).

40513320960 is an abundant number, since it is smaller than the sum of its proper divisors (108350215680).

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

40513320960 is a wasteful number, since it uses less digits than its factorization.

40513320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 40513320960 in words is "forty billion, five hundred thirteen million, three hundred twenty thousand, nine hundred sixty".