41422410288 has 240 divisors, whose sum is σ = 138768305760. Its totient is φ = 11795728896.

The previous prime is 41422410247. The next prime is 41422410319. The reversal of 41422410288 is 88201422414.

It is a happy number.

41422410288 is a `hidden beast` number, since 414 + 224 + 10 + 2 + 8 + 8 = 666.

41422410288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 6707170 + ... + 6713342.

It is an arithmetic number, because the mean of its divisors is an integer number (578201274).

Almost surely, 2^41422410288 is an apocalyptic number.

41422410288 is a gapful number since it is divisible by the number (48) 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 41422410288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69384152880).

41422410288 is an abundant number, since it is smaller than the sum of its proper divisors (97345895472).

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

41422410288 is a wasteful number, since it uses less digits than its factorization.

41422410288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 41422410288 in words is "forty-one billion, four hundred twenty-two million, four hundred ten thousand, two hundred eighty-eight".