41401000200000 has 672 divisors, whose sum is σ = 156698318665728. Its totient is φ = 9449637120000.

The previous prime is 41401000199981. The next prime is 41401000200019. The reversal of 41401000200000 is 200010414.

It is an interprime number because it is at equal distance from previous prime (41401000199981) and next prime (41401000200019).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3120593367 + ... + 3120606633.

It is an arithmetic number, because the mean of its divisors is an integer number (233182021824).

Almost surely, 2^{41401000200000} is an apocalyptic number.

41401000200000 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 41401000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78349159332864).

41401000200000 is an abundant number, since it is smaller than the sum of its proper divisors (115297318465728).

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

41401000200000 is an equidigital number, since it uses as much as digits as its factorization.

41401000200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14057 (or 14027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 41401000200000 its reverse (200010414), we get a palindrome (41401200210414).

The spelling of 41401000200000 in words is "forty-one trillion, four hundred one billion, two hundred thousand".