41030003414400 has 3072 divisors, whose sum is σ = 187741423779840. Its totient is φ = 7600324608000.

The previous prime is 41030003414383. The next prime is 41030003414401. The reversal of 41030003414400 is 441430003014.

It is a super-2 number, since 2×41030003414400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41030003414401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59377718055 + ... + 59377718745.

It is an arithmetic number, because the mean of its divisors is an integer number (61113744720).

Almost surely, 2^{41030003414400} is an apocalyptic number.

41030003414400 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 41030003414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93870711889920).

41030003414400 is an abundant number, since it is smaller than the sum of its proper divisors (146711420365440).

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

41030003414400 is a wasteful number, since it uses less digits than its factorization.

41030003414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41030003414400 its reverse (441430003014), we get a palindrome (41471433417414).

The spelling of 41030003414400 in words is "forty-one trillion, thirty billion, three million, four hundred fourteen thousand, four hundred".