41363038679040 has 1248 divisors, whose sum is σ = 160682485285440. Its totient is φ = 10088991424512.

The previous prime is 41363038678961. The next prime is 41363038679093. The reversal of 41363038679040 is 4097683036314.

It is a happy number.

41363038679040 is a `hidden beast` number, since 4 + 136 + 3 + 0 + 386 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10559875162 + ... + 10559879078.

Almost surely, 2^{41363038679040} is an apocalyptic number.

41363038679040 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 41363038679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80341242642720).

41363038679040 is an abundant number, since it is smaller than the sum of its proper divisors (119319446606400).

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

41363038679040 is a wasteful number, since it uses less digits than its factorization.

41363038679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 41363038679040 in words is "forty-one trillion, three hundred sixty-three billion, thirty-eight million, six hundred seventy-nine thousand, forty".