40351303960 has 128 divisors (see below), whose sum is σ = 108790387200. Its totient is φ = 13296476160.

The previous prime is 40351303957. The next prime is 40351303991. The reversal of 40351303960 is 6930315304.

It is a super-3 number, since 3×40351303960³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87352 + ... + 297208.

It is an arithmetic number, because the mean of its divisors is an integer number (849924900).

Almost surely, 2^40351303960 is an apocalyptic number.

40351303960 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 40351303960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54395193600).

40351303960 is an abundant number, since it is smaller than the sum of its proper divisors (68439083240).

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

40351303960 is a wasteful number, since it uses less digits than its factorization.

40351303960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209921 (or 209917 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The spelling of 40351303960 in words is "forty billion, three hundred fifty-one million, three hundred three thousand, nine hundred sixty".