40140741844720 has 160 divisors (see below), whose sum is σ = 102810104017920. Its totient is φ = 14453494917120.

The previous prime is 40140741844661. The next prime is 40140741844759. The reversal of 40140741844720 is 2744814704104.

40140741844720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40140741844720² (a number of 28 digits) contains 22 as substring.

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, 1458111916 + ... + 1458139444.

It is an arithmetic number, because the mean of its divisors is an integer number (642563150112).

Almost surely, 2^{40140741844720} is an apocalyptic number.

40140741844720 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 40140741844720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51405052008960).

40140741844720 is an abundant number, since it is smaller than the sum of its proper divisors (62669362173200).

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

40140741844720 is a wasteful number, since it uses less digits than its factorization.

40140741844720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43743 (or 43737 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 40140741844720 in words is "forty trillion, one hundred forty billion, seven hundred forty-one million, eight hundred forty-four thousand, seven hundred twenty".