40153320000 has 770 divisors, whose sum is σ = 158135222718. Its totient is φ = 10077696000.

The previous prime is 40153319993. The next prime is 40153320001. The reversal of 40153320000 is 2335104.

It can be written as a sum of positive squares in 5 ways, for example, as 10218783744 + 29934536256 = 101088^2 + 173016^2 .

It is a super-2 number, since 2×40153320000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4590 × 4050 × 2160.

It is not an unprimeable number, because it can be changed into a prime (40153320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 109 ways as a sum of consecutive naturals, for example, 2361959992 + ... + 2361960008.

Almost surely, 2^40153320000 is an apocalyptic number.

40153320000 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 40153320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79067611359).

40153320000 is an abundant number, since it is smaller than the sum of its proper divisors (117981902718).

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

40153320000 is an frugal number, since it uses more digits than its factorization.

40153320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 40153320000 its reverse (2335104), we get a palindrome (40155655104).

The spelling of 40153320000 in words is "forty billion, one hundred fifty-three million, three hundred twenty thousand".