41406620000000 has 288 divisors, whose sum is σ = 103462863259392. Its totient is φ = 16538816000000.

The previous prime is 41406619999999. The next prime is 41406620000023. The reversal of 41406620000000 is 2660414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22059999062 + ... + 22060000938.

It is an arithmetic number, because the mean of its divisors is an integer number (359246052984).

Almost surely, 2^{41406620000000} is an apocalyptic number.

41406620000000 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 41406620000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51731431629696).

41406620000000 is an abundant number, since it is smaller than the sum of its proper divisors (62056243259392).

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

41406620000000 is an frugal number, since it uses more digits than its factorization.

41406620000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 41406620000000 its reverse (2660414), we get a palindrome (41406622660414).

The spelling of 41406620000000 in words is "forty-one trillion, four hundred six billion, six hundred twenty million", and thus it is an aban number.