41078332386000 has 6400 divisors, whose sum is σ = 203690462976000. Its totient is φ = 7900913664000.

The previous prime is 41078332385917. The next prime is 41078332386017. The reversal of 41078332386000 is 68323387014.

41078332386000 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 8 + 3 + 3 + 2 + 38 + 600 + 0 = 666.

It is a super-2 number, since 2×41078332386000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 562716881964 + ... + 562716882036.

It is an arithmetic number, because the mean of its divisors is an integer number (31826634840).

Almost surely, 2^{41078332386000} is an apocalyptic number.

41078332386000 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 41078332386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101845231488000).

41078332386000 is an abundant number, since it is smaller than the sum of its proper divisors (162612130590000).

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

41078332386000 is a wasteful number, since it uses less digits than its factorization.

41078332386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 41078332386000 in words is "forty-one trillion, seventy-eight billion, three hundred thirty-two million, three hundred eighty-six thousand".