40004340320 has 48 divisors (see below), whose sum is σ = 108011721888. Its totient is φ = 13715773440.

The previous prime is 40004340317. The next prime is 40004340331. The reversal of 40004340320 is 2304340004.

It is a happy number.

It is a super-4 number, since 4×40004340320⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40004340292 and 40004340301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17857961 + ... + 17860200.

It is an arithmetic number, because the mean of its divisors is an integer number (2250244206).

Almost surely, 2^40004340320 is an apocalyptic number.

40004340320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40004340320 is an abundant number, since it is smaller than the sum of its proper divisors (68007381568).

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

40004340320 is a wasteful number, since it uses less digits than its factorization.

40004340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35718183 (or 35718175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40004340320 its reverse (2304340004), we get a palindrome (42308680324).

The spelling of 40004340320 in words is "forty billion, four million, three hundred forty thousand, three hundred twenty".