40305274130352 has 960 divisors, whose sum is σ = 141160529433600. Its totient is φ = 9621866741760.

The previous prime is 40305274130281. The next prime is 40305274130453. The reversal of 40305274130352 is 25303147250304.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40305274130352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12964062174 + ... + 12964065282.

It is an arithmetic number, because the mean of its divisors is an integer number (147042218160).

Almost surely, 2^{40305274130352} is an apocalyptic number.

40305274130352 is a gapful number since it is divisible by the number (42) 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 40305274130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70580264716800).

40305274130352 is an abundant number, since it is smaller than the sum of its proper divisors (100855255303248).

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

40305274130352 is a wasteful number, since it uses less digits than its factorization.

40305274130352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 40305274130352 in words is "forty trillion, three hundred five billion, two hundred seventy-four million, one hundred thirty thousand, three hundred fifty-two".