40439177843680 has 192 divisors, whose sum is σ = 119310632985600. Its totient is φ = 12583374336000.

The previous prime is 40439177843663. The next prime is 40439177843711. The reversal of 40439177843680 is 8634877193404.

40439177843680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4639780 + ... + 10119580.

It is an arithmetic number, because the mean of its divisors is an integer number (621409546800).

Almost surely, 2^{40439177843680} is an apocalyptic number.

40439177843680 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 40439177843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59655316492800).

40439177843680 is an abundant number, since it is smaller than the sum of its proper divisors (78871455141920).

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

40439177843680 is a wasteful number, since it uses less digits than its factorization.

40439177843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480433 (or 5480425 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 40439177843680 in words is "forty trillion, four hundred thirty-nine billion, one hundred seventy-seven million, eight hundred forty-three thousand, six hundred eighty".