40132204300320 has 576 divisors, whose sum is σ = 146830839644160. Its totient is φ = 9188196526080.

The previous prime is 40132204300291. The next prime is 40132204300387. The reversal of 40132204300320 is 2300340223104.

It is a super-2 number, since 2×40132204300320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105341217 + ... + 105721503.

It is an arithmetic number, because the mean of its divisors is an integer number (254914652160).

Almost surely, 2^{40132204300320} is an apocalyptic number.

40132204300320 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 40132204300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73415419822080).

40132204300320 is an abundant number, since it is smaller than the sum of its proper divisors (106698635343840).

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

40132204300320 is a wasteful number, since it uses less digits than its factorization.

40132204300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380429 (or 380410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40132204300320 its reverse (2300340223104), we get a palindrome (42432544523424).

The spelling of 40132204300320 in words is "forty trillion, one hundred thirty-two billion, two hundred four million, three hundred thousand, three hundred twenty".