41300013400 has 96 divisors (see below), whose sum is σ = 99978288480. Its totient is φ = 15852672000.

The previous prime is 41300013371. The next prime is 41300013413. The reversal of 41300013400 is 431000314.

It is a super-2 number, since 2×41300013400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458917 + ... + 541483.

It is an arithmetic number, because the mean of its divisors is an integer number (1041440505).

Almost surely, 2^41300013400 is an apocalyptic number.

41300013400 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 41300013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49989144240).

41300013400 is an abundant number, since it is smaller than the sum of its proper divisors (58678275080).

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

41300013400 is a wasteful number, since it uses less digits than its factorization.

41300013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82685 (or 82676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 41300013400 its reverse (431000314), we get a palindrome (41731013714).

The spelling of 41300013400 in words is "forty-one billion, three hundred million, thirteen thousand, four hundred".