41429678570280 has 1024 divisors, whose sum is σ = 190431063244800. Its totient is φ = 7731772600320.

The previous prime is 41429678570257. The next prime is 41429678570311. The reversal of 41429678570280 is 8207587692414.

It is a happy number.

41429678570280 is a `hidden beast` number, since 4 + 1 + 429 + 67 + 8 + 5 + 70 + 2 + 80 = 666.

It is a super-3 number, since 3×41429678570280³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39482089 + ... + 40517831.

It is an arithmetic number, because the mean of its divisors is an integer number (185967835200).

Almost surely, 2^{41429678570280} is an apocalyptic number.

41429678570280 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 41429678570280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95215531622400).

41429678570280 is an abundant number, since it is smaller than the sum of its proper divisors (149001384674520).

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

41429678570280 is a wasteful number, since it uses less digits than its factorization.

41429678570280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035831 (or 1035821 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 41429678570280 in words is "forty-one trillion, four hundred twenty-nine billion, six hundred seventy-eight million, five hundred seventy thousand, two hundred eighty".