8741414332800 has 768 divisors, whose sum is σ = 32269459622400. Its totient is φ = 2310847488000.

The previous prime is 8741414332793. The next prime is 8741414332831. The reversal of 8741414332800 is 82334141478.

8741414332800 is a `hidden beast` number, since 8 + 74 + 141 + 433 + 2 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8238844270 + ... + 8238845330.

It is an arithmetic number, because the mean of its divisors is an integer number (42017525550).

Almost surely, 2^{8741414332800} is an apocalyptic number.

8741414332800 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 8741414332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16134729811200).

8741414332800 is an abundant number, since it is smaller than the sum of its proper divisors (23528045289600).

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

8741414332800 is a wasteful number, since it uses less digits than its factorization.

8741414332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8741414332800 in words is "eight trillion, seven hundred forty-one billion, four hundred fourteen million, three hundred thirty-two thousand, eight hundred".