41348549773440 has 4608 divisors, whose sum is σ = 198572900198400. Its totient is φ = 7847404830720.

The previous prime is 41348549773373. The next prime is 41348549773457. The reversal of 41348549773440 is 4437794584314.

It is a happy number.

41348549773440 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 85 + 49 + 7 + 73 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 780161316454 + ... + 780161316506.

It is an arithmetic number, because the mean of its divisors is an integer number (43093077300).

Almost surely, 2^{41348549773440} is an apocalyptic number.

41348549773440 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 41348549773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99286450099200).

41348549773440 is an abundant number, since it is smaller than the sum of its proper divisors (157224350424960).

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

41348549773440 is a wasteful number, since it uses less digits than its factorization.

41348549773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 41348549773440 in words is "forty-one trillion, three hundred forty-eight billion, five hundred forty-nine million, seven hundred seventy-three thousand, four hundred forty".