40142332324000 has 96 divisors (see below), whose sum is σ = 102030735315600. Its totient is φ = 15503245542400.

The previous prime is 40142332323959. The next prime is 40142332324049. The reversal of 40142332324000 is 42323324104.

It can be written as a sum of positive squares in 8 ways, for example, as 10896257698704 + 29246074625296 = 3300948^2 + 5407964^2 .

It is a super-4 number, since 4×40142332324000⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40142332324000.

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 15 ways as a sum of consecutive naturals, for example, 172911295 + ... + 173143294.

Almost surely, 2^{40142332324000} is an apocalyptic number.

40142332324000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40142332324000 is an abundant number, since it is smaller than the sum of its proper divisors (61888402991600).

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

40142332324000 is a wasteful number, since it uses less digits than its factorization.

40142332324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346054643 (or 346054625 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40142332324000 its reverse (42323324104), we get a palindrome (40184655648104).

The spelling of 40142332324000 in words is "forty trillion, one hundred forty-two billion, three hundred thirty-two million, three hundred twenty-four thousand".