804140163396144 has 240 divisors, whose sum is σ = 2372536829924352. Its totient is φ = 263629697704704.

The previous prime is 804140163396109. The next prime is 804140163396181. The reversal of 804140163396144 is 441693361041408.

It is a happy number.

804140163396144 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 4 + 0 + 16 + 3 + 3 + 9 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66375814 + ... + 77550170.

Almost surely, 2^{804140163396144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804140163396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186268414962176).

804140163396144 is an abundant number, since it is smaller than the sum of its proper divisors (1568396666528208).

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

804140163396144 is a wasteful number, since it uses less digits than its factorization.

804140163396144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174686 (or 11174668 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 804140163396144 in words is "eight hundred four trillion, one hundred forty billion, one hundred sixty-three million, three hundred ninety-six thousand, one hundred forty-four".