41402234332200 has 576 divisors, whose sum is σ = 155643968862720. Its totient is φ = 9067403520000.

The previous prime is 41402234332183. The next prime is 41402234332219. The reversal of 41402234332200 is 223343220414.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 91826514 + ... + 92276286.

It is an arithmetic number, because the mean of its divisors is an integer number (270215223720).

Almost surely, 2^{41402234332200} is an apocalyptic number.

41402234332200 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 41402234332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77821984431360).

41402234332200 is an abundant number, since it is smaller than the sum of its proper divisors (114241734530520).

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

41402234332200 is a wasteful number, since it uses less digits than its factorization.

41402234332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449938 (or 449922 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 41402234332200 its reverse (223343220414), we get a palindrome (41625577552614).

The spelling of 41402234332200 in words is "forty-one trillion, four hundred two billion, two hundred thirty-four million, three hundred thirty-two thousand, two hundred".