81414024000 has 224 divisors, whose sum is σ = 269173756800. Its totient is φ = 21682585600.

The previous prime is 81414023983. The next prime is 81414024001. The reversal of 81414024000 is 42041418.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81414024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24454336 + ... + 24457664.

Almost surely, 2^81414024000 is an apocalyptic number.

81414024000 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 81414024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134586878400).

81414024000 is an abundant number, since it is smaller than the sum of its proper divisors (187759732800).

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

81414024000 is a wasteful number, since it uses less digits than its factorization.

81414024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 81414024000 its reverse (42041418), we get a palindrome (81456065418).

The spelling of 81414024000 in words is "eighty-one billion, four hundred fourteen million, twenty-four thousand".