40542544524504 has 256 divisors, whose sum is σ = 111893458682880. Its totient is φ = 12139688171520.

The previous prime is 40542544524497. The next prime is 40542544524553.

40542544524504 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108561474 + ... + 6108568110.

It is an arithmetic number, because the mean of its divisors is an integer number (437083822980).

Almost surely, 2^{40542544524504} is an apocalyptic number.

40542544524504 is a gapful number since it is divisible by the number (44) 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 40542544524504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55946729341440).

40542544524504 is an abundant number, since it is smaller than the sum of its proper divisors (71350914158376).

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

40542544524504 is a wasteful number, since it uses less digits than its factorization.

40542544524504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 10240000, while the sum is 48.

It can be divided in two parts, 4054254 and 4524504, that added together give a palindrome (8578758).

The spelling of 40542544524504 in words is "forty trillion, five hundred forty-two billion, five hundred forty-four million, five hundred twenty-four thousand, five hundred four".