40320214000 has 160 divisors (see below), whose sum is σ = 107202281472. Its totient is φ = 14545440000.

The previous prime is 40320213991. The next prime is 40320214019. The reversal of 40320214000 is 41202304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2786785 + ... + 2801215.

Almost surely, 2^40320214000 is an apocalyptic number.

40320214000 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 40320214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53601140736).

40320214000 is an abundant number, since it is smaller than the sum of its proper divisors (66882067472).

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

40320214000 is a wasteful number, since it uses less digits than its factorization.

40320214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 14576 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40320214000 its reverse (41202304), we get a palindrome (40361416304).

The spelling of 40320214000 in words is "forty billion, three hundred twenty million, two hundred fourteen thousand".