8141414400000 has 1224 divisors, whose sum is σ = 33650325491328. Its totient is φ = 1857945600000.

The previous prime is 8141414399981. The next prime is 8141414400001. The reversal of 8141414400000 is 44141418.

8141414400000 is a `hidden beast` number, since 81 + 4 + 141 + 440 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141414400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12902399685 + ... + 12902400315.

Almost surely, 2^{8141414400000} is an apocalyptic number.

8141414400000 is a gapful number since it is divisible by the number (80) 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 8141414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825162745664).

8141414400000 is an abundant number, since it is smaller than the sum of its proper divisors (25508911091328).

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

8141414400000 is an frugal number, since it uses more digits than its factorization.

8141414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 8141414400000 its reverse (44141418), we get a palindrome (8141458541418).

The spelling of 8141414400000 in words is "eight trillion, one hundred forty-one billion, four hundred fourteen million, four hundred thousand".