41032420202400 has 288 divisors, whose sum is σ = 145711446870528. Its totient is φ = 9946635340800.

The previous prime is 41032420202393. The next prime is 41032420202437. The reversal of 41032420202400 is 420202423014.

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 47 ways as a sum of consecutive naturals, for example, 538706719 + ... + 538782881.

It is an arithmetic number, because the mean of its divisors is an integer number (505942523856).

Almost surely, 2^{41032420202400} is an apocalyptic number.

41032420202400 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 41032420202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72855723435264).

41032420202400 is an abundant number, since it is smaller than the sum of its proper divisors (104679026668128).

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

41032420202400 is a wasteful number, since it uses less digits than its factorization.

41032420202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96604 (or 96591 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41032420202400 its reverse (420202423014), we get a palindrome (41452622625414).

The spelling of 41032420202400 in words is "forty-one trillion, thirty-two billion, four hundred twenty million, two hundred two thousand, four hundred".