40552141444000 has 192 divisors, whose sum is σ = 101525329275552. Its totient is φ = 15914714112000.

The previous prime is 40552141443959. The next prime is 40552141444109. The reversal of 40552141444000 is 44414125504.

40552141444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 868541985936 + 39683599458064 = 931956^2 + 6299492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96658684 + ... + 97077316.

Almost surely, 2^{40552141444000} is an apocalyptic number.

40552141444000 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 40552141444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50762664637776).

40552141444000 is an abundant number, since it is smaller than the sum of its proper divisors (60973187831552).

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

40552141444000 is a wasteful number, since it uses less digits than its factorization.

40552141444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419116 (or 419098 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 40552141444000 its reverse (44414125504), we get a palindrome (40596555569504).

The spelling of 40552141444000 in words is "forty trillion, five hundred fifty-two billion, one hundred forty-one million, four hundred forty-four thousand".