8910941414400 has 693 divisors, whose sum is σ = 33165362498673. Its totient is φ = 2372812185600.

The previous prime is 8910941414383. The next prime is 8910941414471. The reversal of 8910941414400 is 44141490198.

It is a happy number.

The square root of 8910941414400 is 2985120.

It is a perfect power (a square), and thus also a powerful number.

8910941414400 is a `hidden beast` number, since 8 + 9 + 10 + 94 + 141 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3207938909184 + 5703002505216 = 1791072^2 + 2388096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12895718055 + ... + 12895718745.

Almost surely, 2^{8910941414400} is an apocalyptic number.

8910941414400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8910941414400 is the 2985120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8910941414400

8910941414400 is an abundant number, since it is smaller than the sum of its proper divisors (24254421084273).

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

8910941414400 is an frugal number, since it uses more digits than its factorization.

8910941414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 8910941414400 in words is "eight trillion, nine hundred ten billion, nine hundred forty-one million, four hundred fourteen thousand, four hundred".