41514100667040 has 192 divisors, whose sum is σ = 131318403866496. Its totient is φ = 11023998676992.

The previous prime is 41514100667003. The next prime is 41514100667089. The reversal of 41514100667040 is 4076600141514.

It is a self number, because there is not a number n which added to its sum of digits gives 41514100667040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228999474 + ... + 229180686.

It is an arithmetic number, because the mean of its divisors is an integer number (683950020138).

Almost surely, 2^{41514100667040} is an apocalyptic number.

41514100667040 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 41514100667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65659201933248).

41514100667040 is an abundant number, since it is smaller than the sum of its proper divisors (89804303199456).

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

41514100667040 is a wasteful number, since it uses less digits than its factorization.

41514100667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183231 (or 183223 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 41514100667040 in words is "forty-one trillion, five hundred fourteen billion, one hundred million, six hundred sixty-seven thousand, forty".