41244462400 has 168 divisors, whose sum is σ = 104535696440. Its totient is φ = 16004874240.

The previous prime is 41244462383. The next prime is 41244462403. The reversal of 41244462400 is 426444214.

It can be written as a sum of positive squares in 12 ways, for example, as 1812034624 + 39432427776 = 42568^2 + 198576^2 .

It is a super-2 number, since 2×41244462400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41244462403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25632796 + ... + 25634404.

Almost surely, 2^41244462400 is an apocalyptic number.

41244462400 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 41244462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52267848220).

41244462400 is an abundant number, since it is smaller than the sum of its proper divisors (63291234040).

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

41244462400 is a wasteful number, since it uses less digits than its factorization.

41244462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The spelling of 41244462400 in words is "forty-one billion, two hundred forty-four million, four hundred sixty-two thousand, four hundred".