40359000960 has 384 divisors, whose sum is σ = 148022652960. Its totient is φ = 10097786880.

The previous prime is 40359000947. The next prime is 40359000961. The reversal of 40359000960 is 6900095304.

40359000960 is a `hidden beast` number, since 4 + 0 + 3 + 590 + 0 + 0 + 9 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40359000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62766399 + ... + 62767041.

Almost surely, 2^40359000960 is an apocalyptic number.

40359000960 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 40359000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011326480).

40359000960 is an abundant number, since it is smaller than the sum of its proper divisors (107663652000).

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

40359000960 is a wasteful number, since it uses less digits than its factorization.

40359000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 40359000960 in words is "forty billion, three hundred fifty-nine million, nine hundred sixty", and thus it is an aban number.