40141406427760 has 240 divisors, whose sum is σ = 105227287272576. Its totient is φ = 14221785600000.

The previous prime is 40141406427743. The next prime is 40141406427763. The reversal of 40141406427760 is 6772460414104.

It is a super-2 number, since 2×40141406427760² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40141406427760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141406427763) 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 47 ways as a sum of consecutive naturals, for example, 297989542 + ... + 298124218.

Almost surely, 2^{40141406427760} is an apocalyptic number.

40141406427760 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 40141406427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52613643636288).

40141406427760 is an abundant number, since it is smaller than the sum of its proper divisors (65085880844816).

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

40141406427760 is a wasteful number, since it uses less digits than its factorization.

40141406427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135504 (or 135487 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 40141406427760 in words is "forty trillion, one hundred forty-one billion, four hundred six million, four hundred twenty-seven thousand, seven hundred sixty".