41393826938880 has 1200 divisors, whose sum is σ = 165336258114720. Its totient is φ = 9837301727232.

The previous prime is 41393826938879. The next prime is 41393826938899. The reversal of 41393826938880 is 8883962839314.

41393826938880 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 382 + 6 + 93 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 41393826938799 and 41393826938808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2501582767 + ... + 2501599313.

Almost surely, 2^{41393826938880} is an apocalyptic number.

41393826938880 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 41393826938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82668129057360).

41393826938880 is an abundant number, since it is smaller than the sum of its proper divisors (123942431175840).

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

41393826938880 is a wasteful number, since it uses less digits than its factorization.

41393826938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16634 (or 16599 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 41393826938880 in words is "forty-one trillion, three hundred ninety-three billion, eight hundred twenty-six million, nine hundred thirty-eight thousand, eight hundred eighty".