40072320000 has 550 divisors, whose sum is σ = 149725305378. Its totient is φ = 10672128000.

The previous prime is 40072319953. The next prime is 40072320007. The reversal of 40072320000 is 2327004.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 26197364736 + 13874955264 = 161856^2 + 117792^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40072320007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839614 + ... + 51840386.

Almost surely, 2^40072320000 is an apocalyptic number.

40072320000 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 40072320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74862652689).

40072320000 is an abundant number, since it is smaller than the sum of its proper divisors (109652985378).

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

40072320000 is an frugal number, since it uses more digits than its factorization.

40072320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 40072320000 its reverse (2327004), we get a palindrome (40074647004).

The spelling of 40072320000 in words is "forty billion, seventy-two million, three hundred twenty thousand".