40043540525440 has 128 divisors (see below), whose sum is σ = 97564207777920. Its totient is φ = 15710542848000.

The previous prime is 40043540525383. The next prime is 40043540525441. The reversal of 40043540525440 is 4452504534004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40043540525393 and 40043540525402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40043540525441) by changing a digit.

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, 115392190 + ... + 115738690.

It is an arithmetic number, because the mean of its divisors is an integer number (762220373265).

Almost surely, 2^{40043540525440} is an apocalyptic number.

40043540525440 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 40043540525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48782103888960).

40043540525440 is an abundant number, since it is smaller than the sum of its proper divisors (57520667252480).

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

40043540525440 is a wasteful number, since it uses less digits than its factorization.

40043540525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349980 (or 349968 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

The spelling of 40043540525440 in words is "forty trillion, forty-three billion, five hundred forty million, five hundred twenty-five thousand, four hundred forty".