41378942392320 has 1152 divisors, whose sum is σ = 157016027750400. Its totient is φ = 9229219135488.

The previous prime is 41378942392289. The next prime is 41378942392369. The reversal of 41378942392320 is 2329324987314.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3315879841 + ... + 3315892319.

It is an arithmetic number, because the mean of its divisors is an integer number (136298635200).

Almost surely, 2^{41378942392320} is an apocalyptic number.

41378942392320 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 41378942392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78508013875200).

41378942392320 is an abundant number, since it is smaller than the sum of its proper divisors (115637085358080).

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

41378942392320 is a wasteful number, since it uses less digits than its factorization.

41378942392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 41378942392320 in words is "forty-one trillion, three hundred seventy-eight billion, nine hundred forty-two million, three hundred ninety-two thousand, three hundred twenty".