40320314010 has 96 divisors (see below), whose sum is σ = 110572076160. Its totient is φ = 10165716864.

The previous prime is 40320313963. The next prime is 40320314017. The reversal of 40320314010 is 1041302304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40320314017) 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, 836692 + ... + 883568.

It is an arithmetic number, because the mean of its divisors is an integer number (1151792460).

Almost surely, 2^40320314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55286038080).

40320314010 is an abundant number, since it is smaller than the sum of its proper divisors (70251762150).

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

40320314010 is a wasteful number, since it uses less digits than its factorization.

40320314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47412 (or 47409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40320314010 its reverse (1041302304), we get a palindrome (41361616314).

The spelling of 40320314010 in words is "forty billion, three hundred twenty million, three hundred fourteen thousand, ten".