41420232114000 has 1280 divisors, whose sum is σ = 148252911206400. Its totient is φ = 9902247936000.

The previous prime is 41420232113999. The next prime is 41420232114067. The reversal of 41420232114000 is 41123202414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94351325781 + ... + 94351326219.

It is an arithmetic number, because the mean of its divisors is an integer number (115822586880).

Almost surely, 2^{41420232114000} is an apocalyptic number.

41420232114000 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 41420232114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74126455603200).

41420232114000 is an abundant number, since it is smaller than the sum of its proper divisors (106832679092400).

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

41420232114000 is a wasteful number, since it uses less digits than its factorization.

41420232114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41420232114000 its reverse (41123202414), we get a palindrome (41461355316414).

The spelling of 41420232114000 in words is "forty-one trillion, four hundred twenty billion, two hundred thirty-two million, one hundred fourteen thousand".