804053053440 has 2496 divisors, whose sum is σ = 3835432473600. Its totient is φ = 155175616512.

The previous prime is 804053053439. The next prime is 804053053451. The reversal of 804053053440 is 44350350408.

804053053440 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 5 + 305 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804053053395 and 804053053404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27725967346 + ... + 27725967374.

It is an arithmetic number, because the mean of its divisors is an integer number (1536631600).

Almost surely, 2^804053053440 is an apocalyptic number.

804053053440 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 804053053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917716236800).

804053053440 is an abundant number, since it is smaller than the sum of its proper divisors (3031379420160).

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

804053053440 is a wasteful number, since it uses less digits than its factorization.

804053053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 804053053440 in words is "eight hundred four billion, fifty-three million, fifty-three thousand, four hundred forty".