41215214304000 has 864 divisors, whose sum is σ = 161961261134400. Its totient is φ = 9980780544000.

The previous prime is 41215214303993. The next prime is 41215214304031. The reversal of 41215214304000 is 40341251214.

41215214304000 is a `hidden beast` number, since 4 + 1 + 2 + 15 + 214 + 30 + 400 + 0 = 666.

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, 3158489476 + ... + 3158502524.

It is an arithmetic number, because the mean of its divisors is an integer number (187455163350).

Almost surely, 2^{41215214304000} is an apocalyptic number.

41215214304000 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 41215214304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80980630567200).

41215214304000 is an abundant number, since it is smaller than the sum of its proper divisors (120746046830400).

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

41215214304000 is a wasteful number, since it uses less digits than its factorization.

41215214304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14094 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41215214304000 its reverse (40341251214), we get a palindrome (41255555555214).

The spelling of 41215214304000 in words is "forty-one trillion, two hundred fifteen billion, two hundred fourteen million, three hundred four thousand".