41232202400 has 72 divisors (see below), whose sum is σ = 100747668924. Its totient is φ = 16478208000.

The previous prime is 41232202379. The next prime is 41232202433. The reversal of 41232202400 is 420223214.

It can be written as a sum of positive squares in 6 ways, for example, as 6521531536 + 34710670864 = 80756^2 + 186308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 900050 + ... + 944750.

Almost surely, 2^41232202400 is an apocalyptic number.

41232202400 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 41232202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50373834462).

41232202400 is an abundant number, since it is smaller than the sum of its proper divisors (59515466524).

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

41232202400 is a wasteful number, since it uses less digits than its factorization.

41232202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45874 (or 45861 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41232202400 its reverse (420223214), we get a palindrome (41652425614).

The spelling of 41232202400 in words is "forty-one billion, two hundred thirty-two million, two hundred two thousand, four hundred".