41399082035200 has 288 divisors, whose sum is σ = 106029143700480. Its totient is φ = 16014355660800.

The previous prime is 41399082035153. The next prime is 41399082035323. The reversal of 41399082035200 is 253028099314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2512529362 + ... + 2512545838.

It is an arithmetic number, because the mean of its divisors is an integer number (368156748960).

Almost surely, 2^{41399082035200} is an apocalyptic number.

41399082035200 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 41399082035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53014571850240).

41399082035200 is an abundant number, since it is smaller than the sum of its proper divisors (64630061665280).

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

41399082035200 is a wasteful number, since it uses less digits than its factorization.

41399082035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18123 (or 18098 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 41399082035200 in words is "forty-one trillion, three hundred ninety-nine billion, eighty-two million, thirty-five thousand, two hundred".