40342133124352 has 144 divisors (see below), whose sum is σ = 81870735744000. Its totient is φ = 19837568737280.

The previous prime is 40342133124347. The next prime is 40342133124373. The reversal of 40342133124352 is 25342133124304.

It is a super-2 number, since 2×40342133124352² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2663015274 + ... + 2663030422.

It is an arithmetic number, because the mean of its divisors is an integer number (568546776000).

Almost surely, 2^{40342133124352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40342133124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40935367872000).

40342133124352 is an abundant number, since it is smaller than the sum of its proper divisors (41528602619648).

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

40342133124352 is a wasteful number, since it uses less digits than its factorization.

40342133124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 40342133124352 its reverse (25342133124304), we get a palindrome (65684266248656).

The spelling of 40342133124352 in words is "forty trillion, three hundred forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, three hundred fifty-two".