8148007400800 has 36 divisors (see below), whose sum is σ = 19891323069156. Its totient is φ = 3259202960000.

The previous prime is 8148007400783. The next prime is 8148007400833. The reversal of 8148007400800 is 80047008418.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5092503826 + ... + 5092505425.

It is an arithmetic number, because the mean of its divisors is an integer number (552536751921).

Almost surely, 2^{8148007400800} is an apocalyptic number.

8148007400800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8148007400800 is an abundant number, since it is smaller than the sum of its proper divisors (11743315668356).

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

8148007400800 is a wasteful number, since it uses less digits than its factorization.

8148007400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185009271 (or 10185009258 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 8148007400800 in words is "eight trillion, one hundred forty-eight billion, seven million, four hundred thousand, eight hundred".