41430152210000 has 200 divisors, whose sum is σ = 100519249168800. Its totient is φ = 16536963520000.

The previous prime is 41430152209991. The next prime is 41430152210009. The reversal of 41430152210000 is 1225103414.

It is an interprime number because it is at equal distance from previous prime (41430152209991) and next prime (41430152210009).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×41430152210000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430152210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12224888306 + ... + 12224891694.

It is an arithmetic number, because the mean of its divisors is an integer number (502596245844).

Almost surely, 2^{41430152210000} is an apocalyptic number.

41430152210000 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 41430152210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50259624584400).

41430152210000 is an abundant number, since it is smaller than the sum of its proper divisors (59089096958800).

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

41430152210000 is a wasteful number, since it uses less digits than its factorization.

41430152210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 41430152210000 its reverse (1225103414), we get a palindrome (41431377313414).

The spelling of 41430152210000 in words is "forty-one trillion, four hundred thirty billion, one hundred fifty-two million, two hundred ten thousand".