41041030430400 has 1008 divisors, whose sum is σ = 184015667243520. Its totient is φ = 7871999385600.

The previous prime is 41041030430357. The next prime is 41041030430429. The reversal of 41041030430400 is 403403014014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33023481 + ... + 34243719.

It is an arithmetic number, because the mean of its divisors is an integer number (182555225440).

Almost surely, 2^{41041030430400} is an apocalyptic number.

41041030430400 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 41041030430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92007833621760).

41041030430400 is an abundant number, since it is smaller than the sum of its proper divisors (142974636813120).

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

41041030430400 is a wasteful number, since it uses less digits than its factorization.

41041030430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220302 (or 1220280 counting only the distinct ones).

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

Adding to 41041030430400 its reverse (403403014014), we get a palindrome (41444433444414).

The spelling of 41041030430400 in words is "forty-one trillion, forty-one billion, thirty million, four hundred thirty thousand, four hundred".