8101000242400 has 72 divisors (see below), whose sum is σ = 21297841241544. Its totient is φ = 2991138547200.

The previous prime is 8101000242281. The next prime is 8101000242407. The reversal of 8101000242400 is 42420001018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8101000242407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389460766 + ... + 389481565.

It is an arithmetic number, because the mean of its divisors is an integer number (295803350577).

Almost surely, 2^{8101000242400} is an apocalyptic number.

8101000242400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8101000242400 is an abundant number, since it is smaller than the sum of its proper divisors (13196840999144).

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

8101000242400 is a wasteful number, since it uses less digits than its factorization.

8101000242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778942364 (or 778942351 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 8101000242400 its reverse (42420001018), we get a palindrome (8143420243418).

The spelling of 8101000242400 in words is "eight trillion, one hundred one billion, two hundred forty-two thousand, four hundred".