41422492800 has 960 divisors, whose sum is σ = 173548267200. Its totient is φ = 9644728320.

The previous prime is 41422492789. The next prime is 41422492861. The reversal of 41422492800 is 829422414.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64022077 + ... + 64022723.

It is an arithmetic number, because the mean of its divisors is an integer number (180779445).

Almost surely, 2^41422492800 is an apocalyptic number.

41422492800 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 41422492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86774133600).

41422492800 is an abundant number, since it is smaller than the sum of its proper divisors (132125774400).

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

41422492800 is a wasteful number, since it uses less digits than its factorization.

41422492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 4142 and 2492800, that added together give a palindrome (2496942).

The spelling of 41422492800 in words is "forty-one billion, four hundred twenty-two million, four hundred ninety-two thousand, eight hundred".