41800481600 has 84 divisors (see below), whose sum is σ = 103916059884. Its totient is φ = 16547758080.

The previous prime is 41800481579. The next prime is 41800481621. The reversal of 41800481600 is 618400814.

It is an interprime number because it is at equal distance from previous prime (41800481579) and next prime (41800481621).

It can be written as a sum of positive squares in 6 ways, for example, as 7714460224 + 34086021376 = 87832^2 + 184624^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20534 + ... + 289866.

It is an arithmetic number, because the mean of its divisors is an integer number (1237095951).

Almost surely, 2^41800481600 is an apocalyptic number.

41800481600 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 41800481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51958029942).

41800481600 is an abundant number, since it is smaller than the sum of its proper divisors (62115578284).

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

41800481600 is a wasteful number, since it uses less digits than its factorization.

41800481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269452 (or 269437 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 41800481600 in words is "forty-one billion, eight hundred million, four hundred eighty-one thousand, six hundred".